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?

Question

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.