To find the approximate elevation of the factory office floor, we first need to determine the total height of the factory from the lowest level to the highest point.
- The highest point of the factory (roof) is 56.2 feet.
- The lowest level of the factory is at -15.3 feet.
The total height of the factory is calculated as: \[ \text{Total Height} = \text{Height of Roof} - \text{Height of Lowest Level} = 56.2 - (-15.3) = 56.2 + 15.3 = 71.5 \text{ feet} \]
Next, we need to find the height of the pulley, which is located at an approximate elevation equal to 1/4 of the total height of the factory: \[ \text{Height of Pulley} = \frac{1}{4} \times \text{Total Height} = \frac{1}{4} \times 71.5 = 17.875 \text{ feet} \]
Now, the factory office floor is located 5.5 feet above the pulley: \[ \text{Height of Office Floor} = \text{Height of Pulley} + 5.5 = 17.875 + 5.5 = 23.375 \text{ feet} \]
Rounding this to one decimal place gives us: \[ \text{Height of Office Floor} \approx 23.4 \text{ feet} \]
Thus, the approximate elevation of the factory office floor is: C. 23.4 feet
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