#### Answer

$37^{\circ}$

#### Work Step by Step

The trigonometric ratios are as follows:
$ \cos \theta =\dfrac{adjacent}{hypotenuse}$
We need to use a scientific calculator and press the inverse cosine function $\cos^{-1}$
Suppose $\cos \theta =\dfrac{60}{75}$
This gives: $ \theta \approx 37^{\circ}$