Question

Find the measure of the missing angle.

Answer 1

Answer:

The answer is

49.5°

Step-by-step 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

$\cos( \theta) = \frac{adjacent}{hypotenuse}$

From the question

the adjacent is 13

the hypotenuse is 20

The angle is

$\cos(x) = \frac{13}{20} \\ x = \cos^{ - 1} ( \frac{13}{20} ) \\ x = 49.4583$

We have the final answer as

49.5°

Hope this helps you