a ladder 16m long reaches a window which is 9m above the ground on one side of the street keeping,its - Maths - The Triangle and its Properties

Question

a ladder 16m long reaches a window which is 9m above the ground
on one side of the street keeping,its foot at the same point the
ladder is turn to the other side of the street to reach a window
12m high find the width of th street

Poonam Mittal · Accepted Answer

In Î” ABC, apply Pythagoras theorem AC2 = AB2 + BC2 â‡’ (16)2 = (9)2 + (BC)2 â‡’ 256 = 81 + (BC)2 â‡’ (BC)2 = 175m â‡’ BC = $\sqrt{175}$ m Now In Î” CED, apply Pythagoras theorem CE2 = ED2 + CD2 â‡’ (16)2 = (12)2 + CD2 â‡’ 256 = 144 + CD2 â‡’ CD = $\sqrt{112}$ m âˆ´ Width of the street = BC + CD = $\sqrt{175}$ + $\sqrt{112}$ m = $5 \sqrt{7} + 4 \sqrt{7} = 9 \sqrt{7} m$

a ladder 16m long reaches a window which is 9m above the ground on one side of the street keeping,its foot at the same point the ladder is turn to the other side of the street to reach a window 12m high .find the width of th street.