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January 30, 2015

January 30, 2015

Posted by **May** on Wednesday, July 30, 2008 at 6:24am.

What is the height of the tree?

- Math -
**drwls**, Wednesday, July 30, 2008 at 6:40amLet X be the distance of the dog with the 35 degree elevation angle from the tree. The other dog is 180-X away (in feet). Let H be the height of the tree. You have these two equations in two unknowns:

H/X = tan 35 = 0.7002075

H/(180-X) = tan 23 = 0.4244748

Solve for X first by eliminating H.

(180-X)/X = tan35/tan23 = 1.64959

180 - X = 1.64959 X

X = 180/2.64959 = 67.935 feet

180-X = 112.065 ft

H = X tan 35 = 47.569 ft

- Math -
**May**, Wednesday, July 30, 2008 at 6:57amThanks!

- Math -

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