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lala2
 2 years ago
help?!?
lala2
 2 years ago
help?!?

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

phi
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1bc/sin16= 7600/ sin (16)(156)(8)

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

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

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

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

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

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

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

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

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

phi
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1im sorry but i just dont understand..

phi
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1i thought you meant side not angle

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

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

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

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

phi
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1Thank you @phi! I really apperciate your help and patience
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