Question

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=70°, and EF = 4.4 feet. Find the length of FD to the nearest tenth of a foot.

Answer 1

FD= 1.6 ft

Explanation:

Seems like an easy trig question so let's get to it.

1) Draw the right triangle to make it easier to solve (right triangle because we have a 90 degree angle)

2) Find the last angle measure by adding 90+70= 160 and 180-160= 20 so the last angle measure is 20.

3) Use trig function, tan20= x/4.4 to find the answer of x (FD) to be 1.6. Therefore, the FD value will be 1.6 ft.