Question

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=66°, and EF = 32 feet. Find the length of FD to the nearest tenth of a foot.

Answer 1

14.3

Explanation:

Remark

Make a rough sketch of the triangle.

Make F the right angle

Make <D = 66

E is the other angle.

Givens

EF = 32

<F = 90

<D = 66

Equation

Tan(D) = EF/FD

Solution

Tan(66) = 32/FD Multiply both sides by FD

FD*Tan(66) = 32

Tan(66) = 2.246

2.246 * FD = 32 Divide by 2.2246

FD = 32/2.246

FD = 14.25

FD = 14.3