Question

6-A man standing in a valley between two parallel mountains fires a gun and hears echo at an interval of 2.

Answer 1

Answer:

(a) 918.5 m

(b) 334 m from the nearest mountain and 584.5 m from the furthest mountain

Explanation:

Echo is a reflected sound so the time taken is for twice the actual distance

Let the distance between the nearest mountains and man = x m

and the distance between furthest mountains and man = y m

Distance between two mountains = ( x + y ) m

Total distance covered by sound to produce first echo

= 2x m and time = 2 sec

=> 2y = 334 x 2

=> x =(334 x 2)/2 = 334 m

Total distance covered by sound to produce 2nd echo = 2y m and time = 3.5 sec

=> 2y = 334 x x 3.5

=> y = (334 x 3.5)/2 = 584.5 m

So, Distance b/w two clif = ( 334 + 584.5) = 918.5 m

(b)

The location

The man is 334 m from the nearest mountain and 584.5 m from the furthest mountain