Question

What is the degree measure of x in this triangle? Round only your final answer to the nearest hundredth.

A. .01

B. 33.49

C. .55

D. 40.01

Answer 1

B, 33.49

Explanation:

We know the side lengths of the opposite side and the hypotenuse, so we need a trigonometric function to relate the two.

`sin(theta) = "opposite"/"hypotenuse"` works well in this case.

Now all we need to do is plug in everything we know, `theta` is `x`, opposite is the opposite side length, or 32, and hypotenuse is the long triangle side, or 58.
So:

`sin(x) = 32/58` We will use an inverse trigonometric function to get the angle:
`arcsin(32/58) = x`

After this we need a calculator, after plugging it into mine I get the answer is about answer B, 33.49.