A security light is being installed outside a loading dock. The light must be placed at a 65° angle so that it illuminates a parking lot. If the distance from the end of the parking lot to the loading dock is 100 feet, what is the height of the security light?
A. 21.4 feet
B. 46.6 feet
C. 58.3 feet
D. 78.13 feet

Question

A security light is being installed outside a loading dock. The light must be placed at a 65° angle so that it illuminates a parking lot. If the distance from the end of the parking lot to the loading dock is 100 feet, what is the height of the security light?
A.  21.4 feet 
B.  46.6 feet 
C.  58.3 feet 
D.   78.13 feet

anonymous · Answer

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anonymous · Answer

(Found out the answer is B. 46.6 feet.)
tan 65° = 100/x
x tan 65° = 100
x=100/tan65°
 = 46.6 feet