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You are hiking along the California coast and wonder about the height of a particular Giant Redwood tree.

You are 5 feet and nine inches tall and your shadow is 11 feet long. The shadow of the tree is 330 feet long.


how tall is the tree

Verified Answer :

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Change 5'9" to 5.75 ft; let t = height of the tree
You can use ratio here (corresponding sides of similar triangles):
5 x 75/ 5 = t/165
cross multiply
5t = 5.75*165
5t = 948.75
t = 948.75/ 5
t = 189.75 ft or 189 ft 9 inches