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Credit Bearings Questions.
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2001 Paper 2 Question 6. Three radio masts K , W and P are situated in the Australian outback. K is 250 km due south of w xo W is 410 km from P w 410km P is on a bearing of 130o from K. 250km 130o k p Calculate the bearing of P from W
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w k p 250km 410km 130o xo Find angle yo zo Use sine rule. 250 410 = solve Sin y Sin 130o yo Yo = 27.8o Now calculate Xo Find angle zo = 180-( )= 22.2o 180 –22.2 = 157.8o Hence angle xo =
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Model Paper F Credit. N Q A ship at P observes a lighthouse at Q 40o
on a bearing of 040o. The ship travels 30km on a bearing of 125o d 85o P (125 – 40 = 85o) The ship Observes the lighthouse on a bearing of 340o From position R 30km R (360 –340 = 20o) When the ship is at position R how far is it from the lighthouse? Ship to lighthouse distance = d
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d N P 40o 30km 85o R 20o Q The problem requires us to find the triangle angle at corner R. 60o Extend the North line and consider alternate angles. 35o Angle PRS = 125o 125o Now calculate angle QRP =180 – ( ) = 35o S Now calculate angle PQR. =180 – ( 85+35) = 60o
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Yes it really can be this hard !!!!
At this stage re-draw your diagram with the interior angle information and distances only. N 85o 60o 35o 30km d Now use sine rule to find d. 30km d = solve Sin 60o Sin 85o d = 34.5km Yes it really can be this hard !!!!
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