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Camryn is stuck at the top of a Ferris wheel. Allison is standing 38 feet from the base of the wheel watching
her. If the angle of elevation from Allison to Camryn is 73° ,how far off the ground is Camryn?
a.118.2 ft.
b. 124.3 ft.
c.120.9 ft
d. 126.5 ft.​

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Question:

Camryn is stuck at the top of a Ferris wheel. Allison is standing 38 feet from the base of the wheel watching her. If the angle of elevation from Allison to Camryn is 73°, how far off the ground is Camryn?

a.118.2 ft.

b. 124.3 ft.

c.120.9 ft

d. 126.5 ft.​

Answer:

b. 124.3 ft.

Solution:

For this scenario, we will use the trigonometric ratio of Tangent,

let x = distance or height of Camryn from the ground

This is the Trigonometric Ratio Equation to solve the distance x,

[tex]\large {\sf \tan\theta = \frac{opposite}{adjacent}}\\\\\large {\sf tan73^\circ = \frac{x}{38}}\\\\\large {\sf x = 38 (tan73^\circ)}\\\\\large {\sf x = 124.3 \;ft}\\\\[/tex]

[tex]\therefore \;\large\boxed{\text{\sf The correct answer is letter b.}}[/tex]

* as always, double check my answers for errors or carelessness.

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