asked 1.3k views
3 votes
Nick 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 nick's mom to nick is 73, how far off the ground is nick?

1 Answer

2 votes

Answer:

124.3 ft

Explanation:

We solve the above question using the Trigonometric function of Tangent

= tan θ = Opposite/Adjacent

θ = Angle of Elevation = 73°

Adjacent = 38 ft

Opposite = x

Hence

tan 73° = x/38 ft

Cross Multiply

x = tan 73° × 38 ft

x = 124.2923995 ft

Approximately = 124.3 ft

Therefore, Nick is 124.3 ft from the ground.

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