Question

A ladder is placed in such a way that its foot is at a distance of $5m$ from a well and its top reaches a window $12m$ above the ground. Determine the length the ladder.

Answer 1

We have,

Let the length of ladder$=$x m

Now, distance between foot of ladder and wall$=5$m

Height of the window from to ground$=12$m

$\therefore$ By using the hypotenuse theorem

$\therefore x^2=(12{)}^2+(5{)}^2$

$x=\sqrt{144+25}$

$x=\sqrt{169}$

$x=13$

Length of the ladder is $3$m

Hence, this is answer.