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ivolga24 [154]
3 years ago
5

Find the measure of the missing angle.

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0

Answer:

The answer is

<h2>49.5°</h2>

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

<h3>49.5°</h3>

Hope this helps you

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