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HOMEWORK Draw separate triangles for (a),(b) and (c)

HOMEWORK Draw separate triangles for (a),(b) and (c). N. N. N. 38 °. 30 °. W. W. E. E. 68 °. W. E. S. S. S. Bearings. A bearing is the direction of a point from a starting point. A bearing is measured from North in a clockwise direction.

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HOMEWORK Draw separate triangles for (a),(b) and (c)

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  1. HOMEWORK Draw separate triangles for (a),(b) and (c)

  2. N N N 38° 30° W W E E 68° W E S S S Bearings A bearing is the direction of a point from a starting point. A bearing is measured from North in a clockwise direction. True bearings always have three figures. Example State the following bearings. 60° 52° 22° 060° 322° 202°

  3. N 57° 123° d 130m Bearings • Steps • Draw diagram • Label sides • Identify trig ratio. • Form an equation • Solve the equation • Answer the question Example Bob walks on a bearing of 123°. He finishes up 130m south (but not exactly south) of his starting position. How far did he walk? H A 57° 130m He starts here Swap the d and cos57°. Soh Cah Toa d = 23869m He walked 239m (3 s.f.)

  4. line of sight θ angle of elevation horizontal h 59° 27m Angle of elevation When looking up towards an object, the angle of elevation is defined as the angle between the line of sight and the horizontal. Example 1) The angle of elevation of a radio mast from a point 27m from the base is 59°. What is the height of the mast? • Steps • Draw diagram • Label sides • Identify trig ratio. • Form an equation • Solve the equation • Answer the question

  5. horizontal line of sight angle of θdepression d 13m 23°46’ Ex M 18.3 Page 532 Q 1 – 3 Then choose from Q6 onwards 12 minutes Angle of depression θ angle of depression When looking down towards an object, the angle of depression is defined as the angle between the line of sight and the horizontal. the angle of elevation and depression diagrams can be drawn in similar ways. • Steps • Draw diagram • Label sides • Identify trig ratio. • Form an equation • Solve the equation • Answer the question Example 2) The angle of depression of a boat at sea from the top of a cliff 13m high is 23°46’. How far is the boat from the top of the cliff? sin23°46’ = 13/d d = 13/sin23°46’ Swap the d and sin23°46’. d = 2326m the boat is 2326m from the top of the cliff.

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