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SAT® Math

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Spotting a Fire

SATMAT-EVSWJ1

A man in a tower which is $250$ feet above the ground spots a fire in the distance. The angle of depression to the fire from his location in the tower is $ { 6 }^{ \circ } $.

Which of the following is a correct expression for the horizontal distance between the tower and the fire?

A

$ (250)\tan { \left( { 6 }^{ \circ } \right) } $

B

$ (250)\tan { \left( { 84}^{ \circ } \right) } $

C

$ \cfrac { 250 }{ \tan\left( { 84 }^{ \circ } \right) } $

D

$ \sqrt { { 250 }^{ 2 }+{ 6 }^{ 2 } } $