Question

The top of an offshore oil rig has an elevation of 199.2 meters and its base has an elevation of -9.6 meters. An observation deck is located at an elevation equal to 1/6 of the total height of the oil rig. A helipad is located 22.8 meters above the observation deck. What is the elevation of the helipad?
A.
57.6 meters
B.
56 meters
C.
52 meters
D.
54.4 meters

Answer 1

To find the elevation of the helipad, we need to determine the elevation of the observation deck first.

1. **Calculate the total height of the oil rig**:

Total height = Elevation of the top - Elevation of the base
\[
\text{Total height} = 199.2 \text{ m} - (-9.6 \text{ m}) = 199.2 \text{ m} + 9.6 \text{ m} = 208.8 \text{ m}
\]

2. **Calculate the elevation of the observation deck**:

The elevation of the observation deck is \( \frac{1}{6} \) of the total height.
\[
\text{Elevation of the observation deck} = \frac{1}{6} \times 208.8 \text{ m} = 34.8 \text{ m}
\]

3. **Calculate the elevation of the helipad**:

The helipad is located 22.8 meters above the observation deck.
\[
\text{Elevation of the helipad} = \text{Elevation of the observation deck} + 22.8 \text{ m}
\]
\[
\text{Elevation of the helipad} = 34.8 \text{ m} + 22.8 \text{ m} = 57.6 \text{ m}
\]

Thus, the elevation of the helipad is **57.6 meters**.

The correct answer is:
**A. 57.6 meters**.