Question

Find the measure of the angle O. (Remember, you are finding the actual angle measure, not the ratio.)

Round to the nearest tenth.

Answer 1

Θ ≈ 22.6°

Explanation:

Using the cosine ratio in the right triangle

cosΘ =
`(adjacent)/(hypotenuse)` =
`(AC)/(AB)` =
`(12)/(13)` , thus

Θ =
`cos^(-1)` (
`(12)/(13)` ) ≈ 22.6° ( to the nearest tenth )