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August 20, 2014

August 20, 2014

Posted by **Sasuke** on Wednesday, August 1, 2012 at 11:39am.

- math - incomplete -
**Steve**, Wednesday, August 1, 2012 at 12:57pmIf you draw a diagram, you will see that you cannot compute the height of the tree without knowing how far apart are the tower and the tree.

- math -
**MathMate**, Wednesday, August 1, 2012 at 4:15pmThe observer is 80-6.5=73.5 above the base of the tower and the base of the tree.

An angle of depression to the base of the tree of 72-20-00 means that the distance between the tower and the tree is D=73.5/tan(72-20-00)

the difference between the top of the tree and the observer is therefore

h=D sin(12-40)

The height of the tree, H, is then

H=73.5+D sin(12-40)

=73.5 + 73.5 sin(12-40-00)/tan(72-20-00)

=73.5(1+sin(12-40-00)/tan(72-20-00))

=78.6 ft

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