A telephone pole is secured with two cables. The first cable is attached to the top of the pole and makes an angle of 70° with the ground. The cable is secured to the ground 8 m from the bottom of the pole. The second cable is attached to the top of the pole and secured to the ground 3.5 times as far from the pole as the first cable is, on the same side of the pole. Determine the length of the second cable, to the nearest tenth of a metre.

asked by Henry P

12 years ago

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1 answer

cable 2 is attached 3.5*8 = 28m from the pole

pole is of height h = 8tan70° = 22m

cable 2 is sqrt(28^2+22^2) = 35.61m

answered by Steve

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Question

A telephone pole is secured with two cables. The first cable is attached to the top of the pole and makes an angle of 70° with the ground. The cable is secured to the ground 8 m from the bottom of the pole. The second cable is attached to the top of the pole and secured to the ground 3.5 times as far from the pole as the first cable is, on the same side of the pole. Determine the length of the second cable, to the nearest tenth of a metre.

1 answer

cable 2 is attached 3.5*8 = 28m from the pole

pole is of height h = 8tan70° = 22m

cable 2 is sqrt(28^2+22^2) = 35.61m

Steve · Accepted Answer

cable 2 is attached 3.5*8 = 28m from the pole pole is of height h = 8tan70° = 22m cable 2 is sqrt(28^2+22^2) = 35.61m