Treat the surface of the water as 0. The initial height of the weight was 4 ft above the surface of the water, therefore making it have an initial height of +4. If it travels 12 ft downward to hit the bottom of the pool, that means its height decreased by 12, so its falling is -12. To calculate the depth of the pool, use initial height minus drop distance, so 4 - 12. The depth of the pool is 8 ft.
Explanation :
Let 0 be the surface of the water.
The height 4 feet above the surface would be +4.
A 12-foot drop would be -12.
Together, this would be 4+(-12) = -8. This means the bottom of the pool is 8 feet below the surface; it means that the pool is 8 feet deep.
To find the depth of the water, we start at 4 feet above the surface and subtract the distance the weight falls, which is 12 feet. This gives us a calculation of 4 - 12, resulting in a depth of 8 feet. Therefore, the pool is 8 feet deep.
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