Answer to Question #30348 in Trigonometry for saly

Question

Reg and Jim are members of the avalanche rescue ski patrol. On a training exercise, they are 14m apart and are searching for a beacon buried in the snow on a mountain. They both hone in on the signal that shows that that shows they are on the same horizontal level as the beacon. Reg determines that the beacon is at an angle of 40 degrees from his line of sight to Jim. The angle from Jim's line of sight to Reg to where the beacon lies 55 degrees. Reg looks up the mountain to a rock that is sticking out of the snow directly above the beacon and records the angle of elevation to be 34 degrees. How deep is the beacon buried in the snow below the rock? Round to the nearest tenth of a meter.