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The cable makes a right triangle with the ground and the tower. You'd be using the Pythagorean theorem (a2+b2=c2) c is the cable (200') and use 80' as either a or b.

a2+802=2002

a2=2002-802

a2=40000-6400

a2=33600

a=183.3' rounded

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Q: A tower has a 200 foot cable stretching from its top to the ground the cable is anchored 80 feet from the base of the tower how tall is the tower?
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