Answer to Question #104462 in Trigonometry for Antoni Perez

Question #104462
In the San Gabriel Mountains in California, lookout station Running Deer is 18 kilometers due west of station Lazy Bear. The bearing from Running Deer to a fire directly south of Lazy Bear is S38.4°E. To the nearest tenth of a kilometer, how far is the fire from Running Deer? From Lazy Bear?
1
Expert's answer
2020-03-09T11:59:57-0400

Station Running Deer, station Lazy Bear and fire lie at the vertices of a right-angled triangle. Distance from Running Deer to Fire is:

AB=AC/sin(38.4°)=28.9

Distance from Lazy Bear to fire:

BC=AC/tan(38.4°)=22.7


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