Q109
A pole 23 m long reaches a window which is 3 5 \, m above the ground on one side of a street. Keeping its foot at the same point, the pole is turned to the other side of the street to reach a window 4 15 \, m high. What is the width (in m) of the street?
A pole 23 m long reaches a window which is above the ground on one side of a street. Keeping its foot at the same point, the pole is turned to the other side of the street to reach a window high. What is the width (in m) of the street?
A.
17
B.
35
C.
39
AnswerD.
22
Answer: Option C
Solution
Answer: Option C
Solution:
In ΔABC,
By pythagoras theorem-
(BC)2 = (23)2 - ( )2
(BC)2 = 529 - 45
(BC)2 = 484
BC = 22
Again ΔCDE,
(CD)2 = (23)2 - ( )2
(CD)2 = 529 - 240
(CD)2 = 289
CD = 17
Then width of the street BD = BC + CD
= 22 + 17
= 39