Question: Solve the following application problem. Show all work to receive full credit.

A. A man at ground level measures the angle of elevation to the top of a building to be \(64{}^\circ \). If, at this point, he is 15 feet from the building, what is the height of the building?

Draw a picture, show all work, and find the solution. Round to the nearest hundredths.

B. The same man now stands atop a building. He measures the angle of elevation to the building across the street to be \[25{}^\circ \] and the angle of depression (to the base of the building) to be \[33{}^\circ \]. If the two buildings are 50 feet apart, how tall is the taller building? See the following figure. Round to the nearest hundredths.