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A student is at A and wants to reach at B. For this he first goes to O which is 120 m due north of A and then he goes from O to B by covering a distance 50m in west direction. What is the distance between A from B and the direction of A with respect to B are respectively
Concept:Direction plays a very important role in navigation to a place.Directions are based on the compass.Major directions are:northnorth easteastsouth eastwestsouth westnorth westsouthMan has to go from point A to B.He starts from A goes to O and then to B.An inverted L shape is made.Indicating the direction is Southwest.Now, to find out the distance between A and B.We end to join A to B.As a triangle is made, we need to find a distance.Pythagoras theorem will be applied.a2 = b2+ c2Here, a2= ABb2= 502=2500mc2= 1202= 14,400mTherefore, a2= 2500 + 14,4000=16,900ma= ?16,900a=130mThus, the distance between A and B is 130m the direction of A with respect to B is Southeast.
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