Question

two vertical poles of heights 12 inches and 22 inches are separated by a horizontal distance of 24 inches. what will be the distance between the tops of these poles?

Answer 1

Answer: 26 in.

Explanation:

Given

Heights of Poles are
`12\ in., 22\ in.`

distance between them is
`x=24\ in.`

the difference in heights of the pole is
`y=22-12=10\ in.`

From the figure, using Pythagoras theorem, distance L is given by

`\Rightarrow L^2=y^2+x^2\\\Rightarrow L^2=10^2+24^2\\\Rightarrow L^2=100+576=676\\\Rightarrow L=√(676)=26\ in.`

The distance between tops is 26 in.