Question

What is the missing angle in the right triangle?

Answer 1

Answer:

68

Step-by-step 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.

$\cos A = \dfrac{adj}{hyp}$

$\cos A = \dfrac{3}{8}$

$\cos A = 0.375$

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.

$A = \cos^{-1} 0.375$

$A = 68^\circ$