A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

phi
 one year ago
Best ResponseYou've already chosen the best response.1angle B= 180  24 can you find angle ACB knowing A is 16, and B is 156 ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1remember 3 angles of a triangle add up to 180º

phi
 one year ago
Best ResponseYou've already chosen the best response.1if you can find angle ACB, you can use the Law of Sines to find the side BC \[ \frac{BC}{\sin 16}= \frac{7600}{\sin( ACB)} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1can you be more specific ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, angle at C is 8º now use the Law of Sines to find the length of side BC

lala2
 one year ago
Best ResponseYou've already chosen the best response.1bc/sin16= 7600/ sin (16)(156)(8)

phi
 one year ago
Best ResponseYou've already chosen the best response.1**im not typing i dont know why its saying that** that's scary. what is this bc/sin16= 7600/ sin (16)(156)(8) ?? \[ \frac{BC}{\sin 16}= \frac{7600}{\sin( 8º)} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1no, I was trying to say the angle at C (start at A go to C, then go to B) the Law of Sines see http://www.mathsisfun.com/algebra/trigsinelaw.html uses the ratio of the sin(angle) / side opposite in this case, we want to know side BC, so we need to know the angle across from BC. we do , it is 16º we know side AB= 7600, so we want to know the angle opposite that side. it is angle C=8

phi
 one year ago
Best ResponseYou've already chosen the best response.1if you work it through, you can write \[ \frac{BC}{\sin (16º)}= \frac{7600}{\sin( 8º)} \] multiply both sides by sin(16). \[ \frac{BC}{\sin (16º) }\cdot \sin(16º)= \frac{7600}{\sin( 8º)} \cdot \sin(16º)\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1on the left side, sin(16)/sin(16) "cancel" (become 1 so we can ignore) now get a calculator and figure out BC

phi
 one year ago
Best ResponseYou've already chosen the best response.1what were those 2's they are little º meaning "degrees"

phi
 one year ago
Best ResponseYou've already chosen the best response.1no. start with \[ \frac{BC}{\sin (16º) }\cdot \sin(16º)= \frac{7600}{\sin( 8º)} \cdot \sin(16º) \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1only on the left side you should remember that anything divided by itself is 1 so the left side \[ \frac{BC}{\sin (16º) }\cdot \sin(16º) = BC \cdot \frac{\sin(16)}{\sin(16)}= BC \cdot 1 = BC \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1you need a calculator to figure out the right side

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, but the sin(16) is up top 7600*sin(16)/sin(8)

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. but I think they want to the nearest foot

phi
 one year ago
Best ResponseYou've already chosen the best response.1you can use the Law of Sines to do part (b)

phi
 one year ago
Best ResponseYou've already chosen the best response.1in triangle BCD , what side do you know ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1are you looking at the same picture I am ? put you finger on B, go to C, down to D, over to B. that triangle. which of its 3 sides do you know ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, but what did you figure out in part (a) ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1You found the length of side BC in part (a) BC= 15052.07

phi
 one year ago
Best ResponseYou've already chosen the best response.1do you know the angle that is opposite to side BC ?

lala2
 one year ago
Best ResponseYou've already chosen the best response.1no.. how do i find that?

phi
 one year ago
Best ResponseYou've already chosen the best response.1the angle opposite side BC is the angle that is not B and not C

lala2
 one year ago
Best ResponseYou've already chosen the best response.1im sorry but i just dont understand..

phi
 one year ago
Best ResponseYou've already chosen the best response.1what is the *angle* opposite side BC ? you have 3 choices: B , C or D. (and it's not B or C)

lala2
 one year ago
Best ResponseYou've already chosen the best response.1i thought you meant side not angle

phi
 one year ago
Best ResponseYou've already chosen the best response.1that means we can write down \[ \frac{15052.07}{\sin(90)} = \] now you need a side (I would pick the one we are looking for, and its opposite angle)

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, write CD over sin(24) and set that equal to the first ratio (up above) what do you get ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1I don't know what that is. You should be writing down the equation that you get when you use the Law of Sines. In part (a) we used \[ \frac{BC}{\sin (16)}= \frac{7600}{\sin( 8)} \] your job is to write a similar equation for part (b) you already have both sides....

phi
 one year ago
Best ResponseYou've already chosen the best response.1*both sides of the equation \[ \frac{15052.07}{\sin(90)} = \] and ....

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, but use that in the equation... CD/sin(24) is part of the equation

phi
 one year ago
Best ResponseYou've already chosen the best response.1the idea is length/sin(angle) = length/ sin(angle)

phi
 one year ago
Best ResponseYou've already chosen the best response.1perfect. now "solve" for CD multiply both sides by sin(24) (this will "cancel" sin(24) on the right side)

phi
 one year ago
Best ResponseYou've already chosen the best response.1that is the right side of the equation. you should also show the other side. in other words, start with \[ \frac{15052.07}{\sin(90)} = \frac{CD}{\sin(24)} \] multiply both sides by sin(24). the right side will simplify to CD, just like you showed what do you get for the left side of the equation ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1not after you multiply it by sin(24)

phi
 one year ago
Best ResponseYou've already chosen the best response.1\[ \frac{15052.07}{\sin(90)} = \frac{CD}{\sin(24)} \\ \frac{15052.07}{\sin(90)} \cdot \sin(24)= \frac{CD}{\sin(24)}\cdot \sin(24) \\\frac{15052.07}{\sin(90)} \cdot \sin(24)= CD \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1now round to the nearest foot. that is the answer for part (b)

phi
 one year ago
Best ResponseYou've already chosen the best response.1This was a difficult problem. But it go faster if you try to learn some of this.

lala2
 one year ago
Best ResponseYou've already chosen the best response.1Thank you @phi! I really apperciate your help and patience
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.