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.
52 meters
B.
57.6 meters
C.
56 meters
D.
54.4 meters

Answer 1

To determine the elevation of the helipad, we first need to find the total height of the oil rig.

1. Calculate the total height of the oil rig: \[ \text{Total Height} = \text{Elevation at the top} - \text{Elevation at the base} = 199.2 , \text{m} - (-9.6 , \text{m}) = 199.2 , \text{m} + 9.6 , \text{m} = 208.8 , \text{m} \]

2. Calculate the elevation of the observation deck: The observation deck is located at an elevation equal to \(\frac{1}{6}\) of the total height. \[ \text{Elevation of observation deck} = \frac{1}{6} \times 208.8 , \text{m} = 34.8 , \text{m} \]

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

Thus, the elevation of the helipad is 57.6 meters.

The correct answer is B. 57.6 meters.