Question

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

• A. $13$ m
• B. $15$ m
• C. $14$ m
• D. none of the above

Answer 1

The correct option is A $13$ m

From the given figure, the distance between the tips of the poles forms a right angled triangle with $5$ m and $12m$ as its hypotenuse.
Pythagoras theorem for right triangle,

${Hyp}^2=(Side1{)}^2+(Side2{)}^2$
So, required distance $=\sqrt{5^2+{12}^2}=\sqrt{25+144}=\sqrt{169}=13m$