Question

In the right triangle above, what is the length of the hypotenuse?
16.5
31°

Answer 1

C.)

Explanation:

Since this is a right triangle, we can use the trigonometric identities (Sin, Cos, Tan) to figure out this figure.

1.) First, we identify the identity to use. Since Sin = opposite/hypotenuse, that means that Sin (31deg) = 16.5/hypotenuse.
2.) Now, isolate the hypotenuse to figure by multiplying by it and dividing by Sin (31deg) on each side. You will get hypotenuse = 16.5/Sin (31deg).

3.) Calculate in a calculator. The result would be about 32.0 degrees. Therefore, the answer is C.).