In right triangle \( A B C \) show below, \( A B=18.3 \) and \( B C=11.2 \). What is the measure of \( A \) to the nearest tenth of a degree? A) 31.5 B) 52.3 C) 37.7 D) 58.5

To find the measure of angle \( A \) in right triangle \( ABC \), you can use the tangent function. The tangent of angle \( A \) is the opposite side \( BC \) divided by the adjacent side \( AB \): \[ \tan(A) = \frac{BC}{AB} = \frac{11.2}{18.3} \] Calculating this gives: \[ \tan(A) \approx 0.612 \] Now, use the inverse tangent function to find angle \( A \): \[ A \approx \tan^{-1}(0.612) \approx 31.5^\circ \] Thus, the measure of \( A \) to the nearest tenth of a degree is \( 31.5^\circ \). The answer is A) 31.5.