Find the value of x. Round to the nearest tenth of a unit.

Question

Adjacent: x
Hypotenuse: 27°
Opposite Adjacent: 21

show work.

Answer 1

Using trigonometry, we can use the tangent function to solve for x.

tangent (27°) = opposite/adjacent

tan(27) = 21/x

x = 21/tan(27)

x ≈ 40.1

Therefore, x ≈ 40.1, rounded to the nearest tenth of a unit.