(Solved): The figure shows a shot-put ring. The shot is tossed from A and lands at B. Using modern electronic ...

The figure shows a shot-put ring. The shot is tossed from $A$ and lands at B. Using modern electronic equipment, the distance of the toss can be measured without the use of measuring tapes. When the shot lands at B an electronic transmitter placed at B sends a signal to a device in the official's booth above the track. The device determines the angles at B and C. At a track meet, the distance from the official's booth to the shot-put ring is 571 feet. If $B=84.5^{?}$ and $C=5.2^{?}$, determine the length of the toss to the nearest tenth of a foot. The toss was about feet. (Round to the nearest tenth as needed.)