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The triangle abc has a side lengths ac=13 and the hypotenuse ab=14 whats the angle measurement of a

User Lirik
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1 Answer

3 votes

Answer:

The angle measurement of a is 21.78°.

Explanation:

Given : The triangle abc has a side lengths ac=13 and the hypotenuse ab=14.

To find : Whats the angle measurement of a ?

Solution :

In triangle abc,

The side length is the adjacent side of the angles a i.e. base = ac=13

The hypotenuse is ab=14.

Apply trigonometry in triangle abc,


\cos\theta=(B)/(H)


\cos\theta=(ac)/(ab)


\cos\theta=(13)/(14)


\theta=\cos^(-1)((13)/(14))


\theta=21.78

Therefore, the angle measurement of a is 21.78°.

User John Zhang
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