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
1 answer:
Answer:
The found angle D is:
D = 51.7°
Step-by-step 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°
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