Question

Use the Law of Sines to solve for a to the nearest tenth.

Answer 1

Well first you can find angle A right?
You know the sum of the angles of a triangle is 180 deg.

Answer 2

Then you can use either:
\[\frac{\sin(A)}{a}=\frac{\sin(B)}{b} \text{ or } \frac{\sin(A)}{a}=\frac{\sin(C)}{c} \]
to find a

Answer 3

okay well i know A is 47, but how do i do the Sin(A)/a stuff?

Answer 4

use either of the equations i mentioned and isolate first the a

Answer 5

for example
remember how to solve for x here:
\[\frac{5}{x}=\frac{4}{3} \]
you can multiply both sides by x and 3
\[5(3)=4(x) \\ 3(5)=4x\]
then divide both sides by 4
\[\frac{3(5)}{4}=x\]

Answer 6

do the same thing here
pretend you take the first equation I mentioned
you can multiply both sides by b and a

then afterwards like I did here divide both sides by sin(B)

Answer 7

k

Answer 8

You can show me what you get as the final answer and I will check it

Answer 9

or show me any of your work leading to that answer.

Answer 10

\[\frac{\sin(A)}{a}=\frac{\sin(B)}{b} \\ b \sin(A)=a \sin(B) \\ \frac{b \sin(A)}{\sin(B)}=a\]
the solving part is over
you just have to round that evaluation with a calculator