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Geometry

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Trigonometry: Angle of Elevation/Application/Merrick Butte

GEOM-996MD3

Merrick Butte, a sandstone formation found in Monument Valley at the Utah-Arizona border, is located $1.25$ miles south of the visitor center. The angle of elevation from the valley floor of the visitor center to the summit of Merrick Butte is ${8.67}^{\circ}$.

If the valley floor is $5200$ feet above sea level, what is the elevation of the summit of Merrick Butte?

A

$1006.4 \text { feet}$

B

$5200.2 \text { feet}$

C

$5208.2\text { feet}$

D

$6206.4\text { feet}$

E

$6600\text { feet}$