Answer: 62.6°
Explanation:
We will use trigonometric functions to find the m∠Q (measure of angle Q).
From ∠Q, we are given the adjacent side and the hypotenuse. For this, we will use the cosine function.
Given:
cosθ =

Substitute known values:
cos(m∠Q) =

Take the inverse of cosine of both sides of the equation:
m∠Q = 62.5924
Round to the nearest tenth and include units:
m∠Q = 62.6°