Answer:
x° ≈ 58.0°
Explanation:
Given a right triangle with an acute angle marked x°, the adjacent side marked 9, and the hypotenuse marked 17, you want the measure of the angle.
Cosine
You are given the side adjacent to the angle, and the hypotenuse. The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
cos(x°) = 9/17
The angle is found using the inverse cosine function.
x° = arccos(9/17)
x° ≈ 58.0°
The measure of the angle marked x° is about 58.0°.
__
Additional comment
You will notice the calculator is set to DEG mode, so the angle is given in degrees.