Solving bearings

A speed boat travels 10km south then 8km east. Find the speed boats bearing from its starting point to the nearest degree.


















     tanθ= (8/10)
          θ= tan^-1(8/10)
            = 39°              (nearest degree)

The bearing from B to O= 180°-θ   
                                    = 180° -39°                                     
                                    = 141° 



A family on a road trip drives 20km on a bearing of 330° from point A to point B, Find how far west point B is from point A.

















sin30= x/20
      x= 20sin30
        = 10km

A pigeon delivers a letter from its master on a bearing of 315°The pigeon is flying at a speed of 50km/hour. How far west of the castle is the pigeon? to one d.p

cos45= x/50
       x= 50cos45
         = 35.4km