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 2 years ago
Suppose AD=1. Find the length of each of the other line segments in the figure. When radicals appear in an answer, leave the answer in that form rather than using a calculator. No CALCULATOR.
I will post a drawing. and this is under RIGHT TRIANGLES in PRECAL @hartnn @timo86m
 2 years ago
Suppose AD=1. Find the length of each of the other line segments in the figure. When radicals appear in an answer, leave the answer in that form rather than using a calculator. No CALCULATOR. I will post a drawing. and this is under RIGHT TRIANGLES in PRECAL @hartnn @timo86m

This Question is Closed

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1So far I figured: first triangle: AD________ <D=90 deg <A=30 deg <E= im going to say 60 deg. middle triangle: AE_________ AB_________ BE__________ <A_________ <B=90 deg <E=45 deg bottom triangle: BC____________ CE____________ <B____________ <C=60 deg. <E____________

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2The sum of angles within each triangle is always 180 deg. So you were right when you assumed that <E is 60 deg on the first triangle. Try computing the rest of the angles and then I will help you with the lengths.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1YAY! thank you for dble checking my 60 deg. okay thank you so far i have....

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1first triangle: <D=90 <A=30 <E=60 2nd triangle: <B=90 <E=45 <A=45 right? last Triangle: <B=90 <C=60 <E=75 right?

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Ok, your first two triangles are perfect. Your last triangle has a small mistake. Double check it. Its a small error on your calculation.

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2No no, you were right at <B=90. If <B=90 and your other angle is <C=60. <E=180(B+C) , hence your <E=30. Heh, small error. Dont worry. Let's continue with lengths now. Have you studied trigonometry?

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay thank you. No i haven't studied trignometry before, today my instructor guided us further into trig. functions, and triangles, but she goes so fast I am trying to keep up in our homework

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1i thank you for taking the time to assit me with this, its a pain to me cuz i dont really understand it as much as i want to for some reason

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Hey dont worry. It's difficult at first. Glad to help, and its good to see that people want to learn not just get their homework solved by someone else. Now let me solve one of the triangles of you, and then I will watch and you solve the other two. I will solve the first triangle. Hang on.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1OH! and we got this chart from the book i dont know if it will help: heita or theta(circle with a line going horizontal) Heita / Sin / Cos / Tan 30 deg 1/2 squ.rt.3 /2 squ rt 3 / 3 45 deg squ rt2/2 squrt. 2/2 1 60 deg squrt3/2 1/2 squrt 3

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348606638092:dw We know that a =1, because AD=1. Now we use the trigonometry equations, and the chart you provided,\[\sin (60)=\frac{ a }{ c } =\frac{ 1 }{ c }\]we know from the table that \[\sin(60)=\frac{ \sqrt{3}}{ 2 }\]when we make that equal to 1/c, we get; \[\frac{ \sqrt{3} }{ 2 } = \frac{ 1 }{ c}\]and from there c is equal to the inverse of the result in the left,\[c=\frac{2}{\sqrt{3}}\]We repeat the same calculation for b, but this time instead of sin(60) we use sin(30). And we get,\[\sin(30)=\frac{b}{c}\]Now we know c from the result above so we substitute.\[\frac{ 1 }{ 2 } = \frac{b \sqrt{3}}{2}\]Multiply both sides by two, and you get\[1=b\sqrt{3}\]Divide by sqrt(3) and you get,\[b=\frac{1}{\sqrt{3}}\]

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1WOOW. lol okay sorry okay i am barely on the first part Sin60=Opp/Hyp so sin 60= 1/c okay sorry im taking such a step at a time. and Just letting you know ahead of time. Im going to take off at 220 to get sister from school and Ill be back by 245. Is it okay If i try and read thru your notes and get back to you around 245?

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Ok hang on. What timezone you at? Time over here is 11:13PM. I will probably be awake tho. I can help you. Dont worry.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1for the first one when we did the C, i multiplied up and down of the...i think its called a rational the squ 3... well i did...\[C \sqrt{3} / 2 = 2, then (C/1 )\sqrt{3}/2 = 1/C (C/1) \to get: C \sqrt{3} = 2/\sqrt{3} then i mult. both \right side by \sqrt{3} the \top and bottom \to get 2\sqrt{3} / \sqrt{9} giving me the answer 2\sqrt{3}/3\]

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1AH! okay my thingy didnt work with everything i typed. its 2:15pm in the US. Okay if u have to go I understand. Well have a goodnite, i have to start taking off. thank you for everything

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Lol, no i don't have to go. I just wanted to know what time it is because i didnt understand 220. But now its ok. I'll be around. Just reply when you're back.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay thank you i will.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay let me review the work u placed again give me a min. please.

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Hey welcome back! Let's get to solving the probs then.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1haha okay, hey where are you that the time is night?

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay from this: first part, where did the 2 come from? We repeat the same calculation for b, but this time instead of sin(60) we use sin(30). And we get, sin(30)=bc Now we know c from the result above so we substitute. 12=b3√2 Multiply both sides by two, and you get 1=b3√ Divide by sqrt(3) and you get, b=13√

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2I live in Kosovo, which is in Europe. I need some clarification. Which 2 are you asking about?

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1wow, ive always wanted to go to europe. okay the 2 as in the number 2 Now we know c from the result above so we substitute. sin 30 12=b3√2

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay i dont know if u could see my last typing. but ill draw what i have gotten as an answer.

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Hehe, its a great place really. Europe is nice. I visited a couple of countries myself this summer. Was pretty cool. The two comes from the fact that:dw:1348610270623:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay im done, is that right tho?

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Hmm hang on a minute, ill solve the whole problem and check yoru answers one by one.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay. haha oh man, i thought you had fallen asleep for a sec. thank u for waitin for me to finish

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2lol, no dont worry, i'm awake. i will help you solve this prob completely.

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Have you tried solving the third triangle or the middle triangle?

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1im trying to work on them right now, but it looks as tho i need a length, but im still going by the degrees. right now im trying to do the middle one and im using the first triangle measurements as an example to look back onto for guidence

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1But, i think Im going to u

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1haha but i think im going to use a=1 for AC=1 because i need something to use as an opposite

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Ok, here's what we have then..dw:1348611838196:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1YA, thats what i have so far, haha but i forgot to place the 1 for x in the far right for length

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2You dont need to compute AC, lets compute AB first. We can use \[\tan (45)=\frac{ AB }{ \frac{2}{\sqrt{3}} }\]This gives you\[1=\frac{AB}{\frac{2}{\sqrt{3}}}\]And from that\[AB=\frac{2}{\sqrt{3}}\]

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1348612135479:dw the part where i put a dot it would be the same exact answer right for the length to solve the next triangle?

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Yes, you have the following values,\[AD=1\]\[AE=\frac{2}{\sqrt{3}}\]\[DE=\frac{1}{\sqrt{3}}\]

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1now with filling out the middle triangle, i use either of the answers from the first one to get the answer for the middle one. okay let me see. Sorry im taking so long. i feel like im keeping u

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1AH! sorry for saying sorry

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2lol relax don't worry. I am enjoying this. Otherwise I wouldn't be here. You try to solve that, and I will wait for your answer.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay, well right now im trying to figure out which is best, so im going to stick with dw:1348612826468:dw

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Ok, very good. Calculate that and draw the triangle and tell me where x is.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1how would u multiply dw:1348612939771:dw

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Ok, hang on. You do know SOH CAH TOA right? That will help you alot in trigonometry.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1OH SORRY. how would i go about mulitplying...dw:1348613263475:dw yea I got the hang of SOH CAH TOA, but i cant seem to figure out a way to remember the other ones like cot or sec i think the other was scs? haha

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348613426139:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay, thank you, i thought it would be a 4 then squ rt 6, thank you for clarifying

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay but is that the answer for the side .....AB? did i do it ?

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Hmm, how did you get to that multiplication? You're close tho...

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1dang im always close. ill draw it.

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Yes but you dont have a multiplicationdw:1348613976437:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1why is the X over the AE length?

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Because you are using sin which means opposite over hypotenuse.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1348614388796:dw I rotated it, i think its confusing me when its laying down.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1Okay i see it Sin= Opp/hyp.

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Yes, but you have two 45, so you need to use 904545.

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Ok now just take AE and divide it by sqrt(2) and you will get x. Which means you effectively solve both AB and BE.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1I got 4  sq.rt. 6

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1this is what im getting, im so confused

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348615010146:dw Close again haha :))

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Divide the other way around.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1oh... okay i got that. Now i see how you told me I was close. I had to make it a fraction

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1so that 2 / sq.rt 6 is lengths Ab & Ae?

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Yes.. you're catching quick!. Let's continue with the third triangle.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1348615336270:dw okay let me see the next part

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Ok, try to solve and send the solution to me.

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Perfect! Calculate that and show result..

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Be careful with the nominator. You have division not multiplication there.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1do i multiply the numerator and denomenator by sq. rt. 6? if I do I get: 2sqrt 6 / 3sqrt 6

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2\[\tan(60)=\sqrt{3}\]And use this,\[x\sqrt{3}=\frac{2}{\sqrt{6}}\]

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay let me look at it again

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1so i wasn't close then. :/ hmm. okay on the = squrt 3, where did that come from?? on the tan60 = 3 from that chart thingy i first drew

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Heita / Sin / Cos / Tan 30 deg 1/2 squ.rt.3 /2 squ rt 3 / 3 45 deg squ rt2/2 squrt. 2/2 1 60 deg squrt3/2 1/2 squrt 3 It's sqrt(3) not 3 :))

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1so dang............I put it wrong ROAR! sorry

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay so where did the x come from when u putdw:1348616685558:dw

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1348616752298:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1wait, is the X there because we're trying to find X right?

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.1okay dw:1348617331171:dw

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2nevermind that, it was my mistake. I just divided by sqrt(3)

gezimbasha
 2 years ago
Best ResponseYou've already chosen the best response.2Correct, but you can simplify \[\sqrt{18} = 3\sqrt{2}\]