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

Adjacent: 21
Hypotenuse: 27°
Opposite Adjacent: x

show work.

1 answer

We can use the trigonometric ratio of tangent (tan).

tan(27°) = Opposite / Adjacent

tan(27°) = x / 21

Using cross-multiplication:

x = 21 tan(27°)

x ≈ 10.3 (rounded to the nearest tenth)

Therefore, the value of x is approximately 10.3 units.