Question

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

• A. $16m$
• B. $15m$
• C. $14m$
• D. $13m$

Answer 1

The correct option is D

$13m$

Let CD and AB be the poles of height 11 m and 6 m.
Therefore, CP = (11 - 6) m = 5 m
from the figure, it can be observed that AP = 12 m
Applying Pythagoras theorem for $\Delta APC$, we get
$A{C}^2=P{C}^2+A{P}^2$
$(AC{)}^2=(12{)}^2+(5{)}^2$
$A{C}^2=(144+25{)}^2={169}^2$
AC = 13 m
Therefore, the distance between the top of the poles is 13 m.