Question

Dustin is stuck at the top of a ferris wheel. his mother is standing 38 feet from the base of the wheel watching him. if the angle of elevation from dustin's mom to Dustin is 73 degrees, how far off the ground is nick?

A. 118.2 ft
B. 120.9 ft
C. 124.3 ft
D. 126.5 ft
E. 128.1 ft

Answer 1

To get the height to the nick we use the trigonometry formula:
tan θ=opposite/adjacent
θ=73°
opposite=h ft
adjacent=38 ft
plugging our values we get:
tan 73=h/38
thus
h=38 tan 73
h=124.29~124.3 ft

Answer: C. 124.3 ft