Question

Find the measure of the missing angle.

Answer 1

The answer is

49.5°

Explanation:

Let the angle be x

Since the triangle is a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we use cosine

`\cos( \theta) = (adjacent)/(hypotenuse)`

From the question

the adjacent is 13

the hypotenuse is 20

The angle is

`\cos(x) = (13)/(20) \\ x = \cos^( - 1) ( (13)/(20) ) \\ x = 49.4583`

We have the final answer as

49.5°

Hope this helps you