Chapter 6.1, Problem 53PE

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 562 feet. If $B={85.3}^{\circ }$ and $C={5.7}^{\circ }$, determine the length of the toss to the nearest tenth of a foot.