A ski run has an angle of elevation of 24.4° and a vertical drop of 1100 feet, how long is the ski run.

The length of the ski run is the hypoteneuse of a right triangle......we know an angle and the opposite side....so we have

sin 24.4 = 1100 / hypoteneuse  .....  rearrange

hypoteneuse = 1000 / sin 24.4  = 2662.76 ft. long