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anonymous
 one year ago
Hi, this is my moms account I need help with a question I will fan and do a testimonial and best response if you help
anonymous
 one year ago
Hi, this is my moms account I need help with a question I will fan and do a testimonial and best response if you help

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In triangle DEF measurement angle D=45 degrees meausrement angle E=63 degrees and EF= 24 inches. What is DE to the nearest tenth of a inch

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there isnt a drawing

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433827926366:dw Hey so I think we can make a triangle as such, so we have an idea what we're looking for :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay so we are looking for x

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yes, I just put a big question mark there instead so we know :), ok lets find the third angle first, and this seems like a sine law problem, so can you first tell me how many degrees are in a triangle?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Not quite, you may be thinking of a right triangle which is 90 degrees, but all triangles add up to 180, so our equation for the third angle would be as follow \[45 + 63 + x = 180 \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh im sorry...so i would add 45 and 63 then subtract from 180?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2So just for convenience our third angle will be 72 degrees dw:1433828380399:dw ok so we have to use the sine law here, which can be used in any triangle where we have a side and its opposite angles, and yes!

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433828458402:dw \[\frac{ a }{ \sin(A) } = \frac{ b }{ \sin(B) }\] where A and B are known angles.

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Or we can use dw:1433828607515:dw

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac{ x }{ \sin(72) } = \frac{ 24 }{ \sin(63) }\] please check my work :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay I get it so far

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0why is it 72 and not 45?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Now you just do the algebra for x, and we should get x!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0cross multiply...72 times 24 =63x?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Because we need to find the length of a side, so we use the formula to find length on top, and we know the sin theta ratio.

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yup, cross multiply works :) \[x \times \sin(63) = 24 \times \sin(72)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0multiply that by 24?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Mhm, that does not look right

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2sin(72) I got 0.95105...

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Make sure you're in degree mode on your calculator

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2We should approximately get a length close to 24 (bit higher)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2for the final answer that is

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Take your time :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@wolf1728 can you finish off?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0my choices are 30.2 15.1 32.3 10.5

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have to go soon and I have more questions to ask for tomorrow

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1I'm looking for the answers so far The angles are 45 63 and 72 and 1 side = 24

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0correct thats what @Astrophysics and I got to

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1I calculate the other 2 sides as 19.047 and 25.617

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yes, I got the same

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Maybe I made an error in the ratios, mhm...

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Okay, then we're all set

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats not an answer choice though

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1DE = 25.617 So, are the ONLY answers we can agree on are angles are 45 63 and 72 and 1 side = 24

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes because 25 isnt a choice

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yes, I'm getting the same answer, how many attempts do you have?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and 2 more kinda like it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what about the 63 degrees?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yes, that will work out much better!

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Okay here's the NEW redrawn figure

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay now how do we use it to solve the problem

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2So side a = 24, b = 32.2, and c = 30.24

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2So 30.2 sounds about right, what do you think wolf?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how did you get c=30.24?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im sorry im asking so much

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1I think the MAIN problem is interpreting the Law of Sines properly. We should agree on what exactly is angle A angle B angle C and side a side b side c

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright we know that ef=24

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Ok, so lets use the original triangle dw:1433831084347:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@wolf1728 do you agree so far?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac{ a }{ \sin(a) } = \frac{ c }{ \sin(c) } \implies \frac{ 24 }{ \sin(45) } = \frac{ x }{ \sin(63) }\] \[\implies \frac{ 24 \sin(63) }{ \sin(45) } = x\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Sorry I misread my own triangle earlier haha.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh so what I pointed out was right!

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Okay I redrew it in terms of A B and C and sides a ,b and c

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Now it should make sense, is that good @Miss.SweetiePie haha :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so we multiply sin 63 by 24?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0.8910 is sin 63 now multiply by 24?

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Astrophysics, you are stating that a/sin(A) = c/sin (C) we know angle A and angle C but we do NOT know side a or side c

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1I'd say we should be interpreting the Law of Sines PRECISELY or else we'll get incorrect answers.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So how do we do that

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2I used my original triangle

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Only thing I didn't state was the angles, but those seem to be pretty obvious :P

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Here is what I have for the Law of Sines:

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got 30.2 doing it that way

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yes, I got the same

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what about you @wolf1728

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Astrophysics and @wolf1728 can you help with 2 more and then ill give both of you testimonials and fan

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1I'm not sure. If you two agree then I'll say okay.

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Heck, I'll help you out :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you is it okay if I put it in here

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Haha, well this was all over the place, please open a new question @Miss.SweetiePie

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1sure  it's okay (I don;t need another medal)

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Okay if you want a nice clean space then start a new question.

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Haha it's ok we can do it here, hey @Miss.SweetiePie was 30.2 right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Astrophysics is it okay to do one morein here then I open a new one?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure yet I havent sent it off

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2I guess we should move on, before I start doubting myself :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay In triangle XYZ XY=13 YZ=20 and XZ=25 what is the measure of angle Z to the nearest degree

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Never mind lets ignore it haha

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2I was just doubting

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lol okay...do you see the problem I just put up and please dont say that

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433832486973:dw

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2WE CAN USE COSINE LAW

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[a^2=b^2+c^2  2bc \cos(A)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so now we jus have to find angle z

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2I think you should try to apply it now, and we'll just guide you :P, you have to learn this not us!

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1That is NOT a right triangle (I think astrophysics knew that though)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yes, sorry the drawing should not be a right triangle, a bit more tilted

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Okay  maybe we ALL knew that LOL

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait so what do I do? do I still do th 13^2 part

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Well first lets specify the angledw:1433832804456:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats the unknown angle

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Here is what I have for Cosine Law

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1We know all three sides so I think we have to use one of those formulas

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yes, that's what we are looking for, that's for a triangle that looks as such dw:1433832986527:dw yes cos(C) looks good to me as well

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So a^2 would be j13^2?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433833163502:dw

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1cosine (A) = [b^2 +c^2  a^2] / (2*b*c) cosine (B) = [a^2 +c^2  b^2] / (2*a*c) cosine (C) = [a^2 +b^2  c^2] / (2*a*b)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433833225147:dw

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Now that's clear, at this point, we just plug and chug :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh so a would be 25^2 correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so 1025169=856 but we have to find the sr

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2cosine (C) = [a^2 +b^2  c^2] / (2*a*b)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so so far we have cos*C* 29.3/ 1000?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Not sure what you're doing, I did it all in one step

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2856 sounds good you need to divide by (2*a*b)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Then we can find angle z

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yes now find the angle

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[\cos(c) = .856\] do you know how to find angle c?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2You have to take the inverse

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[c = \cos^{1} (0.856)\]

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1cosine (C) = [a^2 +b^2  c^2] / (2*a*b) cosine (C) = [25^2 + 20^2 13^2] / 2*25*20 cosine (C) = [625 + 400 169] / 1,000 cosine (C) = 856 / 1,000 cosine (C) = .856 Arc cosine (.856) = 31.13 degrees

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0inverse that okay let me calculatw

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Haha, right on wolf :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so thats it for that? nothing else?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im going to open up another question I have one more I think but can we go slow to make sure im still there

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yup, that's it to it :)

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Need a good trigonometry calculator? Try this http://www.1728.org/trigcalc.htm

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2The main thing is, you need to know how to set up the triangle

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Absolutely, Astrophysics

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay one more then I should be good...let me try to set it up in the enxt question please

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1So, how about those Red Sox? LOL

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Haha, I wouldn't be sure, don't follow baseball, but I'm assuming there is a joke in there somewhere!

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1No I just typed something to fill in the space.
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