Question

Using trig to find angles.

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answer 1

x ≈ 39.5°

Explanation:

using the cosine ratio in the right triangle

cos x =
`(adjacent)/(hypotenuse)` =
`(OP)/(NP)` =
`(64)/(83)` , then

x =
`cos^(-1)` (
`(64)/(83)` ) ≈ 39.5° ( to the nearest tenth )