Question

In DEF,the measure of F=90, FD=75 feet, and EF=95 feet. Find the measure of D to the nearest tenth of a degree

Answer 1

The found angle D is:

D = 51.7°

Explanation:

We have a right angle triangle with the right angle at F.

The given right angle triangle is shown in the diagram below.

EF = 95ft ⇒ Perpendicular of the triangle

FD = 75 ft ⇒ Base of the triangle

We have to find angle D.

Lets find angle D by using tan.

We know that

tan D = Perpendicular of the triangle / Base of the triangle

tan D = 95/75

D = tan⁻¹ (95/75)

D = 51.70983°

Rounding off the found angle to nearest 10th of a degree.

D = 51.7°