Answer:
A = 24.1°
Explanation:
The side of length 16.8 is the opposite side of A and the side of length 37.6 is the adjacent side of A. Using the trigonometric function tangent, we get
[tex]\begin{gathered} \tan A=\frac{Opposite}{Adjacent} \\ \tan A=\frac{16.8}{37.6} \\ \tan A=0.4468 \end{gathered}[/tex]
Then, we can solve for A, so
[tex]\begin{gathered} A=\tan^{-1}(0.4468) \\ A=24.1 \end{gathered}[/tex]
Where we type the angle A with 3 significant digits because the measure of the angle is to the nearest 0.1°.
Therefore, the answer
A = 24.1°
