# What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Apr 9, 2018

This is a trigonometric question so using SOH-CAH-TOA can identify which trigonometric function to use.

#### Explanation:

Here, we have a value for the hypotenuse and the opposite sides so we have:
$\sin \left(x\right) = \frac{O}{H}$

$\sin \left(x\right) = \frac{32}{58}$

$x = {\sin}^{-} 1 \left(\frac{32}{58}\right)$

$x = {33.49}^{\circ}$