What is the missing angle in the right triangle?

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.
[tex] \cos A = \dfrac{adj}{hyp} [/tex]
[tex] \cos A = \dfrac{3}{8} [/tex]
[tex] \cos A = 0.375 [/tex]
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.
[tex] A = \cos^{-1} 0.375 [/tex]
[tex] A = 68^\circ [/tex]