A Flag Is Hanging Over the Side of a Building $\frac{2(85)}{(25)(45)} \int_{0}^{45}\left(25 h-\frac{5}{9} h^{2}\right) d h$

Multiple Choice

A flag is hanging over the side of a building.Assume that the flag is a right triangle that has a width (one leg) of 25 feet at the top of the building, a length (other leg) of 45 feet hanging down the side of the building, and a weight of 85 pounds.Which integral represents the work needed to lift this flag to the roof?

A) $\frac{2(85) }{(25) (45) } \int_{0}^{45}\left(25 h-\frac{5}{9} h^{2}\right) d h$
B) $\frac{85}{(25) (45) } \int_{0}^{45}\left(25 h-\frac{5}{9} h^{2}\right) d h$
C) $\frac{85}{(25) (45) } \int_{0}^{45}\left(25-\frac{5}{9} h\right) d h$
D) $\frac{2(85) }{(25) (45) } \int_{0}^{25}\left(45 h-\frac{9}{5} h^{2}\right) d h$