Question

A 15m long ladder is kept at a distance of 9 meters away from a wall in slanting
position. Calculate how high above the ground will the ladder reach?
(1) 8m
(2) 13m
(3) 12m
(4) 9m​

Answer 1

In ∆APC by Pythagoras theorem

Hyp² = Adj² + Opp²

CP² = CA² + AP²

CA² = 15² - 9²

CA² = 225 - 81

CA² = 144

CA = 12m

The option (3) ✔✔✔