Question

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

Answer 1

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°.