In extremely large forests, it is not cost-effective to position forest rangers in towers or to use small aircraft to continually watch for fires. Since lightning is a frequent cause of fire, lightning detectors are now commonly used instead. These devices not only give a bearing on the location but also measure the intensity of the lightning. A detector at point Q is situated 11 miles west of a central fire station at point R. The bearing from Q to where lightning hits due south of R is S37.3°E. How far is the hit from point R?
