Question

a ladder of length 17m is placed such that it's foot is 8m far from a vertical wall of height 100 m. how high the ladder can reach on the wall​

Answer 1

Step-by-step explanation:

Length of the ladder = AC = 17 m Distance between wall and foot of ladder = BC = 8m Δ ABC is a right angled triangle By pythagorean theorem ⇒ AC2 = AB2 + BC2 ⇒ AB2 = AC2 - BC2 ⇒ AB2 = (17)2 - (8)2 ⇒ AB2 = 289 - 64 ⇒ AB2 = 225 ⇒ AB = 15 m ∴ The height that ladder can reach on the wall = 15 m