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A 200 foot wire is attached from the top of a tower to a point on the ground 40 feet from the base of the tower . Find the height of the tower to the nearest foot
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A 200 foot wire is attached from the top of a tower to a point on the ground 40 feet from the base of the tower . Find the height of the tower to the nearest foot

User Marchelle
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8.3k points

2 Answers

3 votes

Answer:

196 ft

Explanation:

User Peter Jirak Eldritch
by
7.7k points
1 vote
Pythagorean theorem: a^2 + b^2 = c^2 (a is the base to the point, b is the height, c is the length of the wire/the hypotenuse)
Plug in: 40^2 + b^2 = 200^2
40,000-1,600 = b^2
Square root of 38,400 = 195.96 feet
User Keithstric
by
7.8k points
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