To find the elevation of the shelf, we first need to determine the elevation of the top of the storage cabinet, given that it is at the same elevation as the basement floor. The elevation of the basement floor is -18.9 feet.
If the storage cabinet is at the same elevation as the basement floor, its elevation is also -18.9 feet.
Next, we add the height of the shelf above the storage cabinet. The shelf is located 2.5 feet above the storage cabinet.
So, we calculate the elevation of the shelf as follows:
\[ \text{Elevation of shelf} = \text{Elevation of storage cabinet} + \text{Height of shelf above cabinet} \] \[ \text{Elevation of shelf} = -18.9 \text{ feet} + 2.5 \text{ feet} = -16.4 \text{ feet} \]
However, -16.4 feet is not one of the provided options. Let's double-check our calculation:
\[ \text{Elevation of storage cabinet} = -18.9 \text{ feet} \] Adding the height of the shelf (2.5 feet): \[ -18.9 + 2.5 = -16.4 \text{ feet} \]
Since the options do not match -16.4 feet, we should consider if the question statement contained a typo or a misinterpretation regarding the elevation.
None of the provided choices (A, B, C, D) exactly match this calculation. However, looking at the context of the options:
- A. -16.7 feet
- B. -22.7 feet
- C. -9.7 feet
- D. -11.7 feet
Given that our calculated value of -16.4 feet is closest to -16.7 feet (option A), we may assume that A is the intended answer based on rounding or estimation.
Therefore, the approximate elevation of the shelf is:
A. -16.7 feet
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