Question

When using a magnetic compass, north is designated as 0°, east as 90, and so on clockwise around the dial. The number of the angle for the direction in which you are traveling is called the "bearing". So, a bearing of 45° would mean that you are traveling directly northeast Students A and B will start at the same point (outside on the oval). Student A will walk, in a straight line, a distance 20 m at a bearing of 30° to reach her new location. Student B will walk, in a straight line, a distance 40 m at a bearing of 320 to reach her new location. Your task is to calculate the bearing and travel distance necessary for student B to walk, in a straight line, frorm her new location to the new location of student A. Include a useful diagram and details of the mathematics

Answer 1

From vector diagram B^rightarrow + c^rightarrow = A^rightarrow C^rightarrow = A^rightarrow - B^rightarrow = 20 sin 30 i^+ 20 cos 30 degree j^- (- 40 sin 40 i^+ 40 cos 40 jk^) = 10 I + 25.71 i^z + 17.32 j^- 30 64j^= 35 - 71i^- 13.32 j^ Vertical-bar C^rightarrow Vertical-bar = squareroot 35.71^2 + 1332^2 = 38.11 m bearing = 90 + tan^- 1 (13.32/35.71) = 110.45

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