Question

A 15 m long ladder reaches a window 12 m high from

the ground on placing it against a wall. How far is the foot

of the ladder from the wall? ( Draw diagram and solve)​

Answer 1

Answer:

Given, Length of ladder AB = 15 m, Length of wall AC = 12 m

According to Pythagoras theorem,

(Hypotenuse)2 = (Perpendicular)2 + (Base)2

(AB)2 = (AC)2 + (BC)2

(15)2 = (12)2 + (a)2

225 = 144 + (a)2

225 - 144 = (a)2

81 = a2

a = 9 m

Therefore, the distance of the foot of the ladder from the wall is 9 m.

Step-by-step explanation:

A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. The distance of the foot of the ladder from the wall is 9 m.