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.

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) (Show Source): You can put this solution on YOUR website!

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

let the height of building be , than we have

...cross multiply

the building is tall

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