SOLUTION: You are 90 ft from a tree. The angle of elevation from your eyes, which are 5 ft off the ground, to the top of the tree is 70 degrees. to the nearest foot, how tall is the tree?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: You are 90 ft from a tree. The angle of elevation from your eyes, which are 5 ft off the ground, to the top of the tree is 70 degrees. to the nearest foot, how tall is the tree?      Log On

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Question 428550: You are 90 ft from a tree. The angle of elevation from your eyes, which are 5 ft off the ground, to the top of the tree is 70 degrees. to the nearest foot, how tall is the tree?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the height of the tree +h+
You have a right triangle
The base is 90 ft
The height is +h+-+5+
+tan%2870%29+=+%28h-5%29%2F90+
+2.747+=+%28h-5%29%2F90+
+h+-+5+=+90%2A2.747+
+h+=+5+%2B+247.27+
+h+=+252.3+
The tree is 252 ft high