SOLUTION: a person 2 m tall casts a shadow 5 m long. at the same time, a building casts a shadow 24 m long. how tall is the building? round to the nearest tenth.

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Question 1205434: a person 2 m tall casts a shadow 5 m long. at the same time, a building casts a shadow 24 m long. how tall is the building? round to the nearest tenth.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a person 2m tall casts a shadow 5m long
at the same time, a building casts a shadow 24m long
both person and building with their shadows forming right triangle each, and triangles are similar
corresponding sides of similar triangles are proportional

let the height of building be h, than we have

h%2F24=2%2F5...cross multiply
5h=2%2A24
5h=48
h=48%2F5
h=9.6
the building is 9.6m tall