SOLUTION: Trina and Mazaheer are standing on the same side of a red maple tree. the angle of elevation from Mazaheer to the tree top is 67 degrees and the angle of elevation from Trina to th

Algebra ->  Trigonometry-basics -> SOLUTION: Trina and Mazaheer are standing on the same side of a red maple tree. the angle of elevation from Mazaheer to the tree top is 67 degrees and the angle of elevation from Trina to th      Log On


   

Question 325818: Trina and Mazaheer are standing on the same side of a red maple tree. the angle of elevation from Mazaheer to the tree top is 67 degrees and the angle of elevation from Trina to the tree top is 53 degrees. If Mahazeer and Trina are 9.3 feet apart and Mahazheer is closer to the tree than Trina, how tall is the tree ?
Thanks.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the distance from the base of the tree to Mumbledipeg's feet. Then is the distance from the base of the tree to Tweezle's feet. Let represent the height of the tree.

Given that the tree is perfectly straight and is growing perfectly perpendicularly to a perfectly horizontal ground upon which M and T are standing, we can say:



and



then



and



Setting them equal and solving for we get:



You can do your own calculator work.

John