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  • 16-09-2020
  • Mathematics
contestada

Find the measure of the missing angle.

Find the measure of the missing angle class=

Respuesta :

Stephen46
Stephen46 Stephen46
  • 16-09-2020

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

[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]

From the question

the adjacent is 13

the hypotenuse is 20

The angle is

[tex] \cos(x) = \frac{13}{20} \\ x = \cos^{ - 1} ( \frac{13}{20} ) \\ x = 49.4583[/tex]

We have the final answer as

49.5°

Hope this helps you

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