A farmer who is 72 inches tall is standing beside a silo that has a height of 140 feet. The length of the silo shadow is 31.5 feet. What is the length of a farmer shadow?

This is the concept of linear scale factor:

The length of the farmer shadow will be calculated as follows:

(height of farmer) / (length of farmer shadow) = (height of the silo) / (length of silo shadow)

let the length of farmer shadow be x

height of farmer=72 inches = 6 ft

length of silo shadow=31.5 ft

height of silo=140 ft

therefore plugging the above in the equation we get:

6/x=140/31.5

solving for x we get

x/6=31.5/140

x=31.5/140*6

x=1.35 ft

The length of the farmer shadow is 1.35 ft