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.
b. 124.3 ft.
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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