SOLUTION: a tree needs to be staked down prior to a storm. if the ropes can be tied on the tree trunk 10 feet above the ground and the staked rope should make a 30 degrees angle with the gro

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Question 1032567: a tree needs to be staked down prior to a storm. if the ropes can be tied on the tree trunk 10 feet above the ground and the staked rope should make a 30 degrees angle with the ground, how far from the base of the tree should the ropes be staked?

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If you draw yourself the diagram you will find that the triangle you draw is a 30-60-90 right triangle...
The sides are always in the ratio of 1-2-sqrt(3)...
The side you want is the sqrt(3) side...its length is
10*sqrt(3) = 17.32 feet