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

question 95

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

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Definitions:

Annuity

A monetary instrument providing a regular series of payments to a person, often utilized in preparing for retirement.

Quarterly Payments

Payments made once every three months, often used in the context of loans or investment returns.

Compounded Annually

A method of interest calculation where interest is added to the principal once a year.

Accumulate

To gather or collect, often a gradual increase of items or value over time.