A building with a height of 40 ft casts a shadow that is 16 ft long. A person standing next to the building casts a shadow that is 2 ft long. How tall is the person?

16ft long shadow of a building when the building true height is 40 ft 1 ft long shadow of a building when the building true height is 40/16 ft 2 ft long shadow of a person when the building true height is (40x2)/16 = 5ft (ans)

Answered by priyambaksi | 2024-06-10

ratio: 40ft / 16ft = 2,5
soo.... x / 2ft = 2,5
answer: x = 5ft

Answered by kszychooo | 2024-06-10

The height of the person standing next to the building is 5 feet, calculated using proportions from the heights and lengths of their shadows. By setting up a proportion based on similar triangles, we found that H p ​ = 5 ft. Thus, the ratio of heights to shadow lengths is consistent, leading to this result.
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Answered by priyambaksi | 2024-12-19