Question

Question 156

Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m, find the distance between their feet.

Answer 1

In right angled $\Delta ACB$,
$A{B}^2=A{C}^2+B{C}^2$ [by Pythagoras theorem]
$\Rightarrow (13{)}^2=(5{)}^2+x^2\Rightarrow 169-25=x^2\Rightarrow 144=x^2\Rightarrow x=\sqrt{144}\Rightarrow x=12m$
Hence, the distance between the feet of two poles is 12 m