Martha wants to know the angle at which the sun hits a tree in her backyard at 3 pm. She finds that the length of the tree’s shadow is 24 ft at 3 pm. At the same time of day, her shadow is 6 ft 5 inches. If Martha is 4 ft 8 inches tall, find the height of the tree and hence the angle at which the sunlight hits the tree.
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Solution: We can find the height of the monument by using the tangent ratio and then adding the eye height of the student.
tan87.4∘h=h25=25⋅tan87.4∘=550.54
Adding 5 ft, the total height of the Washington Monument is 555.54 ft.
According to Wikipedia, the actual height of the monument is 555.427 ft.
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