SOLUTION: A backpacker notes that from a certain point on level ground, the angle of elevation to a point at the top of a tree is 34°. After walking 50 feet closer to the tree, the backpacke

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Question 938291: A backpacker notes that from a certain point on level ground, the angle of elevation to a point at the top of a tree is 34°. After walking 50 feet closer to the tree, the backpacker notes that the angle of elevation is 54°. Find the height of the tree.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Who walks around with a protractor?
Let's call his original distance from the tree, .
Then the second distance is
The tree height is .


So then,





Then,


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