Question

Solve for x. Round to the nearest tenth of a degree, if necessary. The x is at the hypotenuse side and 9.8 is at the opposite side. 52 is the angle.

Answer 1

sin(52°) = opposite/hypotenuse = 9.8/x, so x = 9.8 / sin(52°).

sin(52°) ≈ 0.7880, so x ≈ 9.8 / 0.7880 ≈ 12.4.

Answer: x ≈ 12.4 (to the nearest tenth).