A ladder 45 ft tall when set against a wall of a house , just reaches the window at a - Maths - The Triangle and its Properties

Question

A ladder 45 ft tall when set against a wall of a house , just
reaches the window at a height of 27 ft How far is the lower end of
the ladder from the base of the wall

Manbar Singh · Accepted Answer

Let AC be the ladder and ab be the distance of the window from the ground
Now, AC = 45 ft  ;  AB = 27 ftIn ∆ABC,AC2 = AB2 + BC2   Pythagoras theorem⇒452 = 272 + BC2⇒2025 = 729 +BC2⇒BC2 = 2025 - 729 = 1296⇒BC = 36 ft

Hence the lower end of the ladder is 36 ft away from the base of
the wall

A ladder 45 ft tall when set against a wall of a house , just reaches the window at a height of 27 ft. How far is the lower end of the ladder from the base of the wall.