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.