From a Point on the Floor the Angle of Elevation

Multiple Choice

From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of elevation to the ceiling above the door is 62°. If the ceiling is 10 feet above the floor, what is the vertical dimension of the door (see the figure) . Round your answer to the nearest tenth of a feet. ​

A) 3.7 ft
B) 6.7 ft
C) 5.7 ft
D) 7.2 ft
E) 4.4 ft