Question

What is the missing angle in the right triangle?

Answer 1

68

Explanation:

For angle A, 3 is the adjacent leg. 8 is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

`\cos A = (adj)/(hyp)`

`\cos A = (3)/(8)`

`\cos A = 0.375`

We know the cosine of angle A equals 0.375. We take the inverse cosine of 0.375 to find the measure of the angle.

`A = \cos^(-1) 0.375`

`A = 68^\circ`