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

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.