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.

x = °

We are given the hypotenuse, an angle, and a side that is adjacent to the angle. If we need to find the angle, we use a trigonometric ratio known as cos(x):


We need to solve for x, so we need to cancel cos from the other side. The inverse of cos(x) is arccos(x):



Now, we can safely solve for x:


So, your answer is: x = 58.85°.