How high is the water level in feet if a pressure gauge at the base of a storage tank reads 52 psi?

To determine the height of the water level in feet based on the pressure gauge reading, you can use the formula that relates pressure to height. The pressure exerted by a column of water can be calculated using the formula:

[

\text{Pressure (psi)} = \text{Height (ft)} \times 0.433

]

Here, 0.433 is the conversion factor that relates the pressure in pounds per square inch (psi) to the height of water in feet.

Given the pressure gauge reading of 52 psi, we can rearrange the formula to solve for the height:

[

\text{Height (ft)} = \frac{\text{Pressure (psi)}}{0.433}

]

Substituting in the pressure:

[

\text{Height (ft)} = \frac{52}{0.433} \approx 120.15

]

When rounding, this value is approximately 120 feet. This calculation confirms that the correct height of the water level in the tank is about 120 feet, making this answer the most accurate choice given the pressure reading.