Problema Solution

The light from a lamp casts a shadow of a man standing 10 feet away from the lamp post. The shadow is 5 feet long. The angle of elevation fron the tip of the shadow to the lamp is 50 degrees. To the nearest foot the lamppost is how many feet tall.

Answer provided by our tutors

Let h represent the height of the lap post, h>0


h/(10 + 5) = tan(50)

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........

h = 17.88 ft


The lamp is 17.88 ft tall.