What is the missing angle in the right triangle?

Question

asked Sep 3, 2021 201k views

1 Answer

Chris Flesher · Answer 1 · 2021-09-06T23:25:12+0000

Answer:

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.

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

$A = 68^\circ$