03.04.2021

Redon is 6 ft 2 in tall, and his shadow is 4ft 1 in long. At the same time, a building casts a shadow that is 19 ft 10 in. long. Estimate the height of the building

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11.01.2022, solved by verified expert
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One feet = 12 in
Height of Redon = 6ft 2 in = 6×12+2 = 72+2 = 74in
Length of Redon's shadow= 4ft 1in = 4×12+1 = 48+1 = 49in
Lenght of buildings shadow = 19ft 10 in = 19×12 + 10 = 228+10 = 238in
Height of Redon/ shadow of Redon = height of building/shadow of building
74/49 = height of building/238
Height of building = 74×238/49
= 359.42 in
= 359.42/12
= 29ft 11in
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