Answer:
23.20°
Step-by-step explanation:
All three sides of this right triangle are given, so the acute angle of interest can be found using any of the inverse trig functions.
<h3>Trig relation</h3>
The tangent of the angle is the ratio of opposite and adjacent sides:
Tan = Opposite/Adjacent
Here, that means ...
tan(α) = 3/7
To find the value of α, we need to use the inverse tangent function, also called the arctangent function.
α = arctan(3/7) ≈ 23.19859°
α≈ 23.20°
