Dr. Black is standing 13 feet from a street lamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the street lamp is 50 degrees. To the nearest door, the street lamp is about

Question

Hudson Freeman

Mathematics

15 April, 09:12

Dr. Black is standing 13 feet from a street lamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the street lamp is 50 degrees. To the nearest door, the street lamp is about

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Deacon Andersen · Answer 1

13 + 9 = 22 feet

the angle is 50 degrees

multiply 22 x tan (50) to find the height of the lamppost 22 x tan (50) = 26.21

so the lamppost is about 26 feet tall