Question

How tall is a pole if a 40 ft guy wire reaches from the top of that pole

to a point on the ground 19 ft from the bottom of the pole?

Answer 1

answer is 35.20 ft
Step by step
Using Pythagorean theorem
a^2 + b^2 = c^2
We are looking for the height “a”
We know b= 19, c= 40
So we can substitute know numbers into the equation and solve
a^2 + 19^2 = 40^2
Subtract 19^2 from both sides
a^2 = 40^2 - 19^2
a^2 = 1600 - 361
a^2 = 1239
Take square root of both sides

a = 35.20 ft