Question

a ladder 15m long reaches a window which is 9m above the ground on one side of a street keeping its foot on the same point the ladder turns to other side of the street to reach a window 12m high. Find the width of the street

Answer 1

Ans with statement is in attachment
The width of street is 21m

Answer 2

Answer:

Step-by-step explanation:

ladder ht. same in both case = 15 m

in Δ APC by Pythagoras theorem

 CA² + AP² = CP² ⇒ CA² = 225 - 144 = 81 ⇒ CA = 9 m

similarly in ΔBPD

DB² + BP² = DP² ⇒  BP² = 225-81 = 144 ⇒ BP = 12m

width of street AB = AP+BP = 12+9= 21m