Question

Side upper A upper C is labeled 15. Side upper C upper B is labeled 12. Side upper B upper A is labeled 9.


Use the inverse of tangent to solve for the approximate angle measure of vertex C
𝐶
, rounded to the nearest whole degree.

(1 point)
Responses

53°
53°

39°
39°

37°
37°

59°

Answer 1

Since 9^2 + 12^2 = 81 + 144 = 225 = 15^2, the triangle is right with hypotenuse AC. So angle C has opposite side AB = 9 and adjacent side BC = 12.

tan(C) = 9/12 = 0.75, so C = arctan(0.75) ≈ 36.87°, rounded → 37°.

Answer: 37°.