Question

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.

Answer 1

FD ≈ 252.8 feet

Explanation:

By applying tangent rule in the given right triangle,

tan(20°) =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

tan(20°) =
`(EF)/(FD)`

0.36397 =
`(92)/(FD)`

FD =
`(92)/(0.36397)`

FD = 252.77

FD ≈ 252.8 feet