Lenas house casts a shadow that is 14 feet long at the same time that Lena casts a shadow that is 3.5feet long.if Lena js 4.5 feet tall,how tall is her house

Question

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Answer 1

We see a question of proportions, and we need to define a proportion to find the height of the house.

 

let x = height of the house, then the height of the house is to its shadow as Lena's height is to her shadow.

 

So, x is to 14' as 4.5' I to 3.5'

 

x/14' = 4.5'/3.5'

 

after cross multiplying, we get 3.5'x = 4.5' x 14'

 

when we solve for x, we get x = 18'