SOLUTION: A cable slopes downward from a height of 29 feet to a resting place 20 feet above the ground. The trees that the cable connects are 40 feet apart. how long is the cable?
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Question 615289: A cable slopes downward from a height of 29 feet to a resting place 20 feet above the ground. The trees that the cable connects are 40 feet apart. how long is the cable?
The cable is____feet long.
You can put this solution on YOUR website! A cable slopes downward from a height of 29 feet to a resting place 20 feet above the ground. The trees that the cable connects are 40 feet apart. how long is the cable?
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Draw the picture.
You have a right triangle with:
height = 29-20 = 9 ft
base = 40 ft
Solve for the hypotenuse:
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h^2 = 9^2 + 40^2
h^2 = 81+1600
h = sqrt(1681)
h = 41 ft
The cable is 41 feet long.
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Cheers,
Stan H.
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