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A farmer wants to cut down three pine trees to use for a fence he is building. To decide which trees to cut, he wants to estimate their heights. He holds a 9-inch stick perpendicular to and touching the ground. He measures its shadow to be about 6 inches. If he wants to cut down trees that are about 40 feet tall, how long are the tree shadows?

Respuesta :

The length of the tree shadow is 26.67 feet .

The farmer is modelling the height of the stick to the height of the tree he will use for the building.

Therefore, let's establish a proportional relationship.

What are proportion:

Proportion are mathematical comparison between two numbers. Proportion establish ratios between numbers.

let's convert inches to feet

9 inches = 0.75 feet

6 inches = 0.5 feet

Therefore,

0.75 ft height = 0.5 ft shadows

40 ft height = ?

cross multiply

length of the tree shadows =  0.5 × 40 / 0.75

length of the tree shadows =  20 / 0.75

length of the tree shadows = 26.6666666667

length of the tree shadows ≈ 26.67 feet.

learn more on proportion here: https://brainly.com/question/25811882?referrer=searchResults

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