Final answer:
The height of the cliff is 89.6 meters.
Step-by-step explanation:
To find the height of the cliff, we can use the equations of motion for horizontal and vertical motion. Since the stone is thrown horizontally, its initial vertical velocity is zero. The time of flight is given as 4.3 s and the acceleration due to gravity is 9.8 m/s². Using the equation h = ut + 1/2 gt², where h is the height, u is the initial vertical velocity, g is the acceleration due to gravity, and t is the time of flight, we can calculate:
h = 0(4.3) + 1/2 (9.8)(4.3)² = 89.6 m
Therefore, the height of the cliff is 89.6 meters.
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