Bearing; a girl walks 50m on a bearing 025degrees and then 200m due east. how far is she from her starting point

3 answers

North dist = 50 cos 25 = 45.3
East dist = 200 + 50 sin 25 = 200 + 21.1 = 221.1
dist = sqrt (45.3^2 + 221.1^2)
By the way you walk, sail, or fly on a heading. You take a bearing on something like a lighthouse giving the direction from you to it.
(Teach navigation, fussy about this)
The difference between heading and bearing becomes important in real life.
If you need to go around a bell buoy whose bearing from you is North, you only head North if there is no cross current or wind or other factor causing your heading not to be the same as the direction the boat or plane or whatever actually moves. I am convinced that people who write math texts do not drive ships or planes.