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
