Question

Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

Answer 1

SOLUTION :

Figure is in the attachment .

Given : Two poles of height 6 m and 11 m.

Distance between the feet of the poles = 12

Let BD & AE be the two poles of height is the 6m and 11m.  

BD = CE = 6 m

Again BC = DE = 12  

In ∆ ABC, by using Pythagoras theorem,

AB² = AC² + BC²

AB² = 5² + 12²

AB² = 25 + 144

AB² = 169

AB = √169

AB = ±13

AB = 13 m

[Taking positive square root]

Hence, the distance between the tops of the poles = 13 m.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

5^2 + 12^2 = distance between the poles ^2

25+144

√169

= 13