Trigonometry in navigation pdf

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    In marine navigation, a bearing is the direction one object is from another object, usually, the direction of an object from one’s own vessel. In aircraft navigation, a bearing is the actual compass direction of the forward course of the aircraft.

    In land navigation, a bearing is the angle between a line connecting two points. Bearings is usually measured in degrees.

    Types of bearings include:

    •True bearings/ Three-figure bearings

    •Magnetic bearings

    •Compass bearings

    •Grid bearings

    Trigonometry in action

    A plane leaves an airport and flies 600 km on a bearing of 145°

    a)How far south of the airport is the plane?

    Let x = distance south and missing angle in SAP = 35°

    Cos 35°  =    x

    600

    x  = 600 cos 35°

    x  = 491 Km

    Therefore the plane is 491 km south of the airport

    b)   What is the three-figure bearing of the airport from the plane?

    A compass rose is drawn at the position of the plane.

     NPA = 35° (alternate)

    Therefore the bearing of the airport from the plane is 360°- 35° = 325°

    Navigation without trigonometry

    Without Trigonometry the

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