A 78-inch tall man casts a shadow that is 54 inches long. At the same time, a nearby building casts a 48-foot long shadow. Write and solve a proportion to find the height of the building.

Question

Mathematics

Josephine

4 February, 22:24

A 78-inch tall man casts a shadow that is 54 inches long. At the same time, a nearby building casts a 48-foot long shadow. Write and solve a proportion to find the height of the building.

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Answers (2)

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Aniya Jenkins · Answer 1

78:54 Man and his shadow

x:48 Building and its shadow

78/54=x/48

x = (78) (48) / 54

x=69.33 feet tall

The building nearby is about 69 feet tall

Cory Mcdaniel · Answer 2

Height of the man : length of his shadow = 78 : 54

heght of the building : length of its shadow = x : 48

78/54 = x/48

78 (48) = 54x

3744 = 54x

x = 3744/54

x = 69.33

The height of the building is approx. 69 ft.