A flagpole that is 40ft in height casts a shadow that is 25ft in length. If a nearby building is 200ft tall, and the sun hits it at the same angle as the tree, what is the length of the building's shadow?

Question

Mathematics

Kenzie Wilcox

5 November, 04:34

A flagpole that is 40ft in height casts a shadow that is 25ft in length. If a nearby building is 200ft tall, and the sun hits it at the same angle as the tree, what is the length of the building's shadow?

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Answers (2)

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Buffalo · Answer 1

I would assume that the shadow length is proportional to the height of the flagpole. Hence as the building is 5 times higher than the flagpole, the length of the shadow would be 5 times higher, 25x5 = 125 ft.

Dallas Armstrong · Answer 2

125 ft

Step-by-step explanation:

Since you know the height of the pole and the shadow you can write it as a ratio of 40/25. Knowing that the sun hits the building at the same angle you can set up the equation as 40/25 = 200/x where x is the length of the shadow of the building.

40/25 = 200/x 40 = 5000/x Multiply the 25 to the other side 40x = 5000 Multiply the x to the other side. No more fractions! x = 125