A tree is growing 42-ft feet from a home. The home owner is worried the tree could fall onto the house during a storm and is considering having a tree service come out and cut It down. To determine if the tree needs to be cut down the home owner stands '15' feet from the tree and measures the angle between the ground and the top of the tree to be 67°. Find the height of the tree. (Round to 2 decimal places)

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
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A tree is growing 42-ft feet from a home. The home owner Is worrled the tree could fall onto the
house during a storm and is considering having a tree service come out and cut it down. To
determine if the tree needs to be cut down the home owner stands '15' feet from the tree and
measures the angle between the ground and the top of the tree to be 67°. Find the height of the
tree. (Round to 2 decimal places)
Transcribed Image Text:A tree is growing 42-ft feet from a home. The home owner Is worrled the tree could fall onto the house during a storm and is considering having a tree service come out and cut it down. To determine if the tree needs to be cut down the home owner stands '15' feet from the tree and measures the angle between the ground and the top of the tree to be 67°. Find the height of the tree. (Round to 2 decimal places)
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