SOLUTION: A square canopy is supported on 4 corners by poles. Each pole is supported by 3
cables, each cable is attached to the top of the 12 foot pole and 5 feet away from the base.
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Algebra.Com
Question 838179: A square canopy is supported on 4 corners by poles. Each pole is supported by 3
cables, each cable is attached to the top of the 12 foot pole and 5 feet away from the base.
Find the total length needed for the all of the cables.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
one cable attached 5 feet away from the pole on the ground and connected to the top of the pole would be equal to 13 feet in length.
this is because the cable is the hypotenuse of a right triangle that has a height of 12 feet and a base of 5 feet.
a^2 + b^2 = c^2 in a right triangle.
a = 5
b = 12
formula becomes:
5^2 + 12^2 = c^2 which becomes:
c^2= 169 which becomes:
c = 13
so each cable is 13 feet in length.
there are 3 cables per pole and 4 poles.
total length of cable is 3 * 4 * 13 = 156 feet.
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