Direction Sense Test
Category : 10th Class
DIRECTIONS
There are eight directions.
These are:
East (E), West (W), North (N), South (S), North-East (N-E), North-West (N-W), South-East (S-E and South-West (S-W).
The angle between (East and North) or (North and West) or (South and East) or (South and West) is\[90{}^\circ \].
Clockwise : The direction in which the clock moves.
Anticlockwise : The opposite direction of the movement of the hands of a clock.
EXAMPLE
Ram starts from his house and goes 15 km northwards, then travels 4 km to the left, the travels 5 km towards the left, then again travels 10 km towards the left, then travels 18 k towards the right, how far and in which direction is he from his house?
(a) 10 km, South-East (b) 10 km, North-East
(c) 9 km, South-West (d) 9 km, North-West
Explanation (a):
Ram's house is at A. His movement is:
\[A\to B\to C\to D\to E\to F\]
The final position of Ram is at F.
Clearly, F is now in South-East from his house at A.
Further, in AAPF, ZAPF = 90°
So, by Pythagoras theorem, we have\[A{{F}^{2}}=\text{ }A{{P}^{2}}+\text{ }P{{F}^{2}}\]
\[\Rightarrow AF=\sqrt{6+64}=\sqrt{100}=10\]km
Thus, Ram is 10 km away from his house and in South-East direction.
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