Question

In the triangle below, b=____. If necessary, round your answer to two decimal places.

Answer 1

Have you learned the law of sines?

Answer 2

The law of sines uses a ratio for the sine of each angle and the length of the opposite side.
In this case, you do know a side and its opposite angle, so you can use the law of sines.

Answer 3

Use the measures of the given angles to find the measure of angle B.
Then use the law of sines to find b.

Answer 4

Yes, what i got from it is \[37/\sin(42)=b/\sin(96.5)\]

Answer 5

Good.
Now solve for b.