Question

Anyone help me please?

Answer 1

The angle is 36.87°

Explanation:

To find the missing angle, we will have to use inverse SOH-CAH-TOA.

Looking at the angle, as well as the two sides, we can infer that the opposite of the unknown angle is 24. Since the given side is not the hypotenuse but the adjacent, we know that we will be using inverse tangent (TOA).

`tan^(1)` (x) =
`(24)/(32)`

x =
`tan^(-1)` (
`(24)/(32)`)

x = 36.87°

Answer 2

≈ 36.9

Explanation:

You are given the opposite and adjacent side, leading you to use tan. However, since you're trying to find the angle measurement, and not the side, you use the inverse of tan:
`tan^-1`

Set it up like this:

`tan^-1 ((24)/(32))=?`

When you solve, you get:

36.86

Round to the nearest tenth:

36.9