Ch 4: Trigonometry

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Ch 4: Trigonometry. 4D: Bearings. True Bearings. Important in navigation as used to communicate direction True bearings ( o T ) are measured clockwise from due north. Usually written using 3 digits (i.e. S E 135 O ) Opposite directions differ by 180 o. Example (pg. 9). N. - PowerPoint PPT Presentation

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Ch 4: Trigonometry

Ch 4: Trigonometry4D: Bearings

True BearingsImportant in navigation as used to communicate direction

True bearings (oT) are measured clockwise from due north.

Usually written using 3 digits (i.e. S E 135O)

Opposite directions differ by 180o

Example (pg. 9)ONSEWABCDFind the True Bearing for point A, B, C & D35o45o30o70o90o 35o = 055oA =

B =

C =

D = 90o+ 45o = 135o270o- 30o = 240o360o- 20o = 340oExample (pg. 10)NSEW15kmNSEW10kmHow far east is the person from their original position?STEP 1: Draw Triangle10kmXcm60oXcmSTEP 2: Use SOH CAH TOA to find x30oExample (pg.10)XcmHow far north is the person from their original position?STEP 1: Draw TriangleSTEP 2: Use SOH CAH TOA to find x10kmXcm30oNSEW15kmNSEW10km30oExample (pg.11)NSEW5kmNSEW11kmXcm30o90o11kmXcm30oFind how far east is the ship from its starting point, correct to two decimal places.STEP 1: Draw TriangleSTEP 2: Use SOH CAH TOA to find xExample (pg.11)NSEWXcm5kmNSEW11km30o90oFind how far east is the ship from its starting point, correct to two decimal places.STEP 1: Draw TriangleSTEP 2: Use SOH CAH TOA to find x11kmXcm60oQuestion Ex 4D 4.4Level 1: 2, 4-6

Level 2: 2 ace, 5, 6, 8, 9

Level 3: 2 c e, 6, 9 , 11, 13