Question

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

A right triangle is shown with one leg measuring 8, and the hypotenuse is labeled 13. An angle made with the leg measuring 8 and the hypotenuse is marked y degrees.

Answer 1

Answer:

  52.02°

Step-by-step explanation:

You want the measure of angle y, which has adjacent side 8 units in a right triangle with hypotenuse 13 units.

Cosine

The cosine relation is ...

  Cos = Adjacent/Hypotenuse

In your triangle, this is ...

  cos(y) = 8/13

The inverse cosine function is used to find the angle measure:

  y = arccos(8/13) ≈ 52.02°

The measure of angle y is about 52.02°.