Tuesday, 6 January 2015

Mathematics: Tips for Solving Direction Sense Problem for Competitive Exams

Tips for Solving Direction Sense Problem


The questions asked from this chapter are based on direction and distance both. In this type of questions, students have to find out the direction or distance, which is covered from the starting point (position) to certain ending point(position). That means students are required to ascertain the final direction or the distance between two points. These questions are asked to test the candidate's ability to trace and follow correctly and sense the direction correctly.

Students are advised to pin-point on a piece of paper the starting-point. Then they should draw lines as directed (indirected) in the question. Thus they will have a diagram (figure) of the movement. It will thus the easy to find direction from the starting point.



According to the above diagram, we can easily understand about the directions. To find out the lowest distance between two points, we use Pythagoras theorem. Direction between North and West is called North-West, the direction between North and East is called North-West similarly we know the South-West and South-East.

If we are walking towards any direction and we have to turn right, then we should turn right or in clock wise direction with 90°. If we have to turn left, then we should turn anti-clockwise direction at 90°.

Sample Problem

1) Ramesh starts from his house and goes to the east. After covering 4 km, he turns to right and covers 2 km. Then he turns to right again and covers 4 km. In which direction now Ramesh is from his house ?

Solution: 
                         Ramesh's house       4 km
                                          ------------------------------┐
                                                                                │2 km
                                                                                │
                                          -------------------------------
                                                      4 km 
The above diagram indicates that he is now in the south from his house.


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