Question

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

Answer 1

Answer:

The angle measurement of a is 21.78°.

Step-by-step 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,

$\cos\theta=\frac{B}{H}$

$\cos\theta=\frac{ac}{ab}$

$\cos\theta=\frac{13}{14}$

$\theta=\cos^{-1}(\frac{13}{14})$

$\theta=21.78$

Therefore, the angle measurement of a is 21.78°.