Question

A farmer is 6 feet tall. his shadow is 10 feet long and his barn casts a 75 foot shadow, how tall is his barn

Answer 1

Use a comparison to compare the height and the shadow

`(height)/(shadow)= (height)/(shadow)`

now input the numbers to the comparison, suppose h is the height of the barn we want to find

`(barnheight)/(barnshadow)= (farmerheight)/(farmershadow)`

`(h)/(75)= (6)/(10)`

Solve the equation by moving 75 to the right side, and we'll find the value of h

`(h)/(75)= (6)/(10)`

`h= (6)/(10)(75)`

`h= (6(75))/(10)`

`h= (450)/(10)`

`h=45`

The barn is 45 feet tall