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

phiBest ResponseYou've already chosen the best response.1
remember 3 angles of a triangle add up to 180º
 10 months ago

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

phiBest ResponseYou've already chosen the best response.1
can you be more specific ?
 10 months ago

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

lala2Best ResponseYou've already chosen the best response.1
bc/sin16= 7600/ sin (16)(156)(8)
 10 months ago

phiBest 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) ?? \[ \frac{BC}{\sin 16}= \frac{7600}{\sin( 8º)} \]
 10 months ago

phiBest ResponseYou've already chosen the best response.1
no, 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
 10 months ago

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

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

phiBest ResponseYou've already chosen the best response.1
what were those 2's they are little º meaning "degrees"
 10 months ago

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

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

phiBest ResponseYou've already chosen the best response.1
you need a calculator to figure out the right side
 10 months ago

phiBest ResponseYou've already chosen the best response.1
yes, but the sin(16) is up top 7600*sin(16)/sin(8)
 10 months ago

phiBest ResponseYou've already chosen the best response.1
yes. but I think they want to the nearest foot
 10 months ago

phiBest ResponseYou've already chosen the best response.1
you can use the Law of Sines to do part (b)
 10 months ago

phiBest ResponseYou've already chosen the best response.1
in triangle BCD , what side do you know ?
 10 months ago

phiBest ResponseYou've already chosen the best response.1
are 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 ?
 10 months ago

phiBest ResponseYou've already chosen the best response.1
yes, but what did you figure out in part (a) ?
 10 months ago

phiBest ResponseYou've already chosen the best response.1
You found the length of side BC in part (a) BC= 15052.07
 10 months ago

phiBest ResponseYou've already chosen the best response.1
do you know the angle that is opposite to side BC ?
 10 months ago

lala2Best ResponseYou've already chosen the best response.1
no.. how do i find that?
 10 months ago

phiBest ResponseYou've already chosen the best response.1
the angle opposite side BC is the angle that is not B and not C
 10 months ago

lala2Best ResponseYou've already chosen the best response.1
im sorry but i just dont understand..
 10 months ago

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

lala2Best ResponseYou've already chosen the best response.1
i thought you meant side not angle
 10 months ago

phiBest ResponseYou've already chosen the best response.1
that 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)
 10 months ago

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

phiBest ResponseYou've already chosen the best response.1
I 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....
 10 months ago

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

phiBest ResponseYou've already chosen the best response.1
yes, but use that in the equation... CD/sin(24) is part of the equation
 10 months ago

phiBest ResponseYou've already chosen the best response.1
the idea is length/sin(angle) = length/ sin(angle)
 10 months ago

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

phiBest ResponseYou've already chosen the best response.1
that 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 ?
 10 months ago

phiBest ResponseYou've already chosen the best response.1
not after you multiply it by sin(24)
 10 months ago

phiBest ResponseYou've already chosen the best response.1
\[ \frac{15052.07}{\sin(90)} = \frac{CD}{\sin(24)} \\ \frac{15052.07}{\sin(90)} \cdot \sin(24)= \frac{CD}{\sin(24)}\cdot \sin(24) \\\frac{15052.07}{\sin(90)} \cdot \sin(24)= CD \]
 10 months ago

phiBest ResponseYou've already chosen the best response.1
now round to the nearest foot. that is the answer for part (b)
 10 months ago

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

lala2Best ResponseYou've already chosen the best response.1
Thank you @phi! I really apperciate your help and patience
 10 months ago
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