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jellybelly59

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1.A ship sailing in a direction 065 degrees true bearing, observes two lighthouses in a line due north. After travelling 4km one of the lighhouses bears 285 degrees true and the other 315 degrees true. Show that the distance between the lighthouse is:


4[(sin70/sin45)-(sin40/sin75)]

2. Three points P,Q and R lie in a horizontal plane. Angles RPQ and RQP are alpha and beta respectively. If PQ is x units in length, show that the perpendicular distance y from R to Pq is given by :

y = (x tan alpha tab beta) / (tan alpha + tan beta)
 
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