Angles, Degrees, and Triangles

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tayhalo

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Oct 5, 2010
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Having a lot of trouble with this problem.

A tree needs to be staked down prior to a storm. If the ropes can be tied on the tree trunk 11 feet above the ground and the staked rope should make a 60 Degree angle with the ground, how far from the base of the tree should each of the ropes be staked?
 
tayhalo said:
Having a lot of trouble with this problem.

A tree needs to be staked down prior to a storm. If the ropes can be tied on the tree trunk 11 feet above the ground and the staked rope should make a 60 Degree angle with the ground, how far from the base of the tree should each of the ropes be staked?
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Did you draw a sketch? Do you see that you have 30-60 degree right triangle with the long leg known? In 30-60 right triangle, the hypotenuse is twice as long as the short leg. You might indicate the short leg as "x", then the hypotenuse is "2x". Now use the Pythagorean Theorem to determine x.
 
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