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Assuming the ground is flat and level.

The pole, ground and cable would form a right triangle.

Using Pythagorean's theorem: a2+b2=c2

x2+402=502

x2=2500-1600 = 900

x = √900 = 30 feet.

The pole is 30 feet tall.

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Q: Two workers tied a 50 foot cable to the top of a pole they were going to cut down The cable reached 40 feet from the base of the pole How tall was the pole?
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