D.r Black is standing 20 feet from a streetlamp. The lamp is making his shadow 5 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 30°. How tall is the street lamp to the nearest foot?

traquealwm 2022-08-06 Answered
D.r Black is standing 20 feet from a streetlamp. The lamp is making his shadow 5 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 30 . How tall is the street lamp to the nearest foot?
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Answers (1)

Skylar Beard
Answered 2022-08-07 Author has 11 answers
Length of shadow= 5 feet
Distance between him and lamp= 20 feet
Total distance = 25 feet
Angle of elevation = 30 degrees
tan 30 = height of lamp/total distance
1 3 =height of lamp / 25
25 3 =height of lamp
25 1.732 = height of lamp
Height of lamp = 14.43 feet.

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