Final answer:
The height of the cliff is 38 meters.
Step-by-step explanation:
To calculate the height of the cliff, we can use the formula for free fall motion: h = (1/2)gt^2, where h is the height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time. In this case, the time is given as 2.8s. Plugging these values into the formula, we get h = (1/2)(9.8)(2.8)^2.
Calculating this gives us h = 38m, so the height of the cliff is 38 meters.