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?

Question

asked Apr 12, 2022 154k views

1 Answer

XPD · Answer 1 · 2022-04-18T01:54:35+0000

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.