495.92 m
Step-by-step explanation:
Let h be the height of the shaft
t = Time taken by the screwdriver to fall to the ground
Time taken to hear the sound is 6 seconds
Time taken by the sound to travel the height of the shaft = 6-t
Speed of sound in air = 1100 ft/s
For the stone falling
For the sound
Distance = Speed × Time
Here, distance traveled by the screwdriver and sound is equal
The time taken to fall down is 5.55 seconds
Height of the shaft is 495.92 m