SOLUTION: Please help solve this one. thanks. If a guy wire for a tree is 14 ft. long making a 41 degrees angle with the ground, how far is the base of the tree from the stake anchoring the

Algebra ->  Trigonometry-basics -> SOLUTION: Please help solve this one. thanks. If a guy wire for a tree is 14 ft. long making a 41 degrees angle with the ground, how far is the base of the tree from the stake anchoring the      Log On


   



Question 90491: Please help solve this one. thanks.
If a guy wire for a tree is 14 ft. long making a 41 degrees angle with the ground, how far is the base of the tree from the stake anchoring the wire.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If a guy wire for a tree is 14 ft. long making a 41 degrees angle with the ground, how far is the base of the tree from the stake anchoring the wire.
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Draw the picture; you have a right triangle. The guy wire is the hypotenuse
You want the length of the base when the side opposite the 41 degree angle
is the tree.
You have an angle and the hypotenuse; the base is the side adjacent to the
41 degree angle.
EQUATION:
cos(41) = adjacent/hypotenuse = x/14
14cos(41) = x
x = 10.57 ft
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Cheers,
Stan H.