Question

Find the measure of each angle indicated. Round to the nearest tenth.

Answer 1

theta = 22.6 degrees

Explanation:

Here, we want to find the value of theta

To do this , we use the appropriate trigonometric identity

Let us identify the given sides of the triangle

we have the hypotenuse, which is the longest side of the triangle, given as 13 and the third side called the adjacent, given as 12

The trigonometric identity that relates the hypotenuse to the adjacent is the cosine

Mathematically;

cosine of an angle is the ratio of the adjacent to the hypotenuse

Thus, we have it that;

cos theta = 12/13

theta = arc(cos) 12/13

theta= 22.6