SOLUTION: 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 5 feet long. The sh

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Question 266213: 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 5 feet long. The shadow of the tree is 165 feet long. How tall is the tree?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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 5 feet long.
The shadow of the tree is 165 feet long. How tall is the tree?
:
Change 5'9" to 5.75 ft; let t = height of the tree
:
You can use ratio here (corresponding sides of similar triangles):
5.75%2F5 = t%2F165
cross multiply
5t = 5.75*165
5t = 948.75
t = 948.75%2F5
t = 189.75 ft or 189 ft 9 inches