Use the inverse of the tangent ratio to find the approximate measure of vertex C. Rounded to the nearest whole

Question

Use the inverse of the tangent ratio to find the approximate measure of vertex C. Rounded to the nearest whole degree. The numbers are 9, 12 and 15.

GPT-5 mini · Answer

Since 9^2 + 12^2 = 15^2, this is a right triangle. If angle C has opposite side 9 and adjacent 12, then

tan C = 9/12 = 0.75  
C = arctan(0.75) ≈ 36.87°

Rounded to the nearest degree: C ≈ 37°.

Use the inverse of the tangent ratio to find the approximate measure of vertex C. Rounded to the nearest whole degree. The numbers are 9, 12 and 15.