The figure shows a shotput ring The shot is tossed from A an

The figure shows a shot-put ring. The shot is tossed from A and lands at B. Using modem 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 528 feet. If B = 85.4 degree and C = 5.1 degree, 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.)

Solution

c/sinC = b/sinB

c = 528 x (sin5.1)/(sin85.4) = 47.08786448 feet

in nearest tenth = 50 feet