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Geometry

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Trigonometry: Angle of Depression/Application/Photographer

GEOM-BERUJL

A photographer for an outdoor magazine is sitting in a deer stand that has a floor $12$ feet above the ground. He aims his camera from a tripod at a ${15}^{\circ}$ angle of depression to photograph a doe and her fawn grazing in the pasture. From the floor of the deer stand to the camera is $3.5$ feet.

Find the distance, to the nearest foot, that the doe and her fawn are from the base of the deer stand.

A

$3$ feet

B

$4$ feet

C

$45$ feet

D

$57$ feet

E

$58$ feet