Question

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

Answer 1

196 ft

Explanation:

Answer 2

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