Question

Use the image to answer the question.(A right triangle $ABC$ is shown. Side $AC$ (hypotenuse) is 15, side $CB$ (adjacent to $C$) is 12, and side $BA$ (opposite to $C$) is 9.)Use the inverse of tangent to solve for the approximate angle measure of vertex $C$, rounded to the nearest whole degree.Answer Choices$37^\circ$$53^\circ$$59^\circ$$39^\circ$

Answer 1

tan(C) = opposite/adjacent = 9/12 = 0.75.
C = arctan(0.75) ≈ 36.87°, which rounds to 37°.

Answer: 37°.