A 40-m high tower stands vertically on a hill side (sloping ground) which makes an angle of 18 degrees with the horizontal. A tree also stands vertically up the hill from the tower. An observer on the top of the tower finds the angle of depression of the top of the tree to be 28 degrees and the bottom of the tree to be 40 degrees. Determine the height of the tree.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A 40-m high tower stands vertically on a hill side (sloping ground) which makes an angle of 18 degrees with the horizontal. A tree also stands vertically up the hill from the tower. An observer on the top of the tower finds the angle of depression of the top of the tree to be 28 degrees and the bottom of the tree to be 40 degrees. Determine the height of the tree.

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