SOLUTION: You want to erect a pole of height 10 m with the support of three ropes . Each rope has to make an angle 30 degrees with the pole. What should be the length of the rope ?
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Question 942799: You want to erect a pole of height 10 m with the support of three ropes . Each rope has to make an angle 30 degrees with the pole. What should be the length of the rope ? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! You want to erect a pole of height 10 m with the support of three ropes . Each rope has to make an angle 30 degrees with the pole. What should be the length of the rope ?
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Draw a picture with one of the ropes.
You have a right triangle with height = 10 m and angle at pole = 30 deg.
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Find the hypotenuse of the triangle
Equation:
cos(30) = pole/hypotenuse
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sqrt(3)/2 = 10/hypotenuse
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hypotenuse = 2*10/sqrt(3) = 20sqrt(3)/3 meters ~ 11.55 meters
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Cheers,
Stan H.
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