Question

Use the Law of Sines to write an expression that represents angle measure x.

Answer 1

x° = arcsin(15.5/26.9×sin(73°))

Explanation:

The law of sines tells you the sine of an angle is proportional to the length of the opposite side:

sin(x°)/15.5 = sin(73°)/26.9

sin(x°) = (15.5/26.9)sin(73°) . . . . . multiply by 15.5

Using the inverse function, we can find x.

x° = arcsin((15.5/26.9)sin(73°))