1.7 Three-Figure Bearings

Three-Figure Bearings

  • Three-Figure bearings describe a direction in a 2D plane in terms of the angle, measured in a clockwise direction, a line drawn in that direction makes with the positive y-axis (north).
  • By convention, the origin is chosen to be the point (x, y)=(0,0) on a graph.

Example

The compass direction north-east (NE) corresponds to a bearing of 315o.

Navigation Problems

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1.5 Methods for Solving Triangles

The 180o Rule

  • For any given triangle, the sum of the inside angles is equal to 180o:

A+B+C=180^{\circ}

Where A, B and C are the inside angles of a triangle.

Example

Picture 1

We wish to find the unknown angle, X, in the above triangle. As the other angles are known, we can use the 180o rule. First, we substitute in the known values:

X+35+45=180

Now we solve for the unknown angle:

X+80 &=180

X &=100^{\circ}

The Sine Rule

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