Question

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 = ____°

Answer 1

Answer: 58.85

Explanation:

just took the test :)

Answer 2

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):

`cos(x) = (adj)/(hyp)`

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

`arccos(cos(x)) = arccos( (adj)/(hyp))`

`x = arccos( (adj)/(hyp))`

Now, we can safely solve for x:

`x = arccos( (15)/(29)) = 58.85`

So, your answer is: x = 58.85°.