A tree makes a shadow that is 14 ft long. Colleen is 6ft tall. When she is standing near the tree, her shadow is 3.5 ft long. How tall is the tree?

Question

Mathematics

Lilah Davila

2 July, 05:53

A tree makes a shadow that is 14 ft long. Colleen is 6ft tall. When she is standing near the tree, her shadow is 3.5 ft long. How tall is the tree?

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Iris · Answer 1

This is a ratio set up, and we will put the shadow height on the top of the fractions and the height of the objects on the bottom: 14/x = 3.5/6. We can use cross-multiplication to do the solving: 3.5x = 84 and x = 24. So the tree is 24 ft tall