# Q10  A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other          end. How far from the base of the pole should the stake be driven so that the wire will be taut?

S seema garhwal

OB is pole.

In $\triangle$ AOB, by pythagoras theorem

$AB^2=AO^2+BO^2$

$\Rightarrow 24^2=18^2+AO^2$

$\Rightarrow 576=324+AO^2$

$\Rightarrow 576-324=AO^2$

$\Rightarrow 252=AO^2$

$\Rightarrow AO=6\sqrt{7} m$

Hence, the distance of the stack from the base of the pole is $6\sqrt{7}$ m.

Exams
Articles
Questions