A Proposed Vacation Villa
A resort company is planning
to build a vacation villa on a hill facing the ocean.
The spot is famous for viewing spectacular sunrises. The
hill flattens out at around 300 ft above sea level as shown in the diagram at the left.
During the hurricane season, the average wind speed coming in from the
ocean is around 50 mph.
After reviewing the design, the structural engineer thinks the wind speeds would be higher at the villa location (point A) do to the shape of the hill.
It is assumed that the hill shape can be approximated as the top section of a half body and point A is directly above the selected origin (i.e., θA = π/2).