Directional Sense Quiz 1

Shortest distance between Anaya Pandey to Faizah:

\sqrt{4^{2}+3^{2}}=\sqrt{16+9}=\sqrt{25}
=5m

Shortest distance between Anaya Pandey to Genelia D'souza:

\sqrt{16^{2}+12^{2}}=\sqrt{256+144}=\sqrt{400}

Total distance travelled by Anaya Pandey= 5m + 20m = 25 m

He is at (20+15)km=35 km from the starting point in the East direction.

Applying pythagoras theorem here we get,


Distance between India Gate and Central Park = \sqrt{12^{2}+9^{2}}=\sqrt{144+81}=\sqrt{225}

=15 km

From the figure it is clear that India Gate is in the South-west direction from Central Park.

From the figure it is clear that he is in the south west direction from the starting point.

Let Seth Rogen Start from point A and walk east for 1 km to reach B,then he turns 45 degrees left to reach C and finally stops at point D after turning 90 degrees right.

He is facing the South-East direction.

The movements of Jim Parsons from A to F are as shown in Fig.
Clearly, DC = AB + EF.
F is in line with A.
Also. AF = (BC – DE) = 5 m.
So. Jim Parsons is 5 metres away from his initial position.

The movements of Ryan Murphy are as shown in Fig.
(X to Y, Y to A, A to B, B to C).
Ryan Murphy’s distance from the starting point X = XC = (XY – YC)
= (XY – BA) = (80 – 70) m = 10 m.

If Selena Gomez is to look for Keanu Reeves in the game, what distance does she save if she goes to Keanu Reeves straight instead of first going to Ryan Murphy and then reaching Keanu?

Solution: Distance covered by Selena Gomez while going to Ryan Murphy and then reaching Keanu Reeves= 40 + 40 = 80 m

Distance covered by Selena Gomez while going straight to Keanu Reeves= \sqrt{40^{2}+40^{2}}=\sqrt{3200}
=56.56 m

Therefore,the distance saved=(80-56.56)m
=23.44 m

As per the diagram, the distance between Ryan Murphy and Selena Gomez is 40 m
while the distance between Ryan Murphy and Keanu Reeves is also 40 m.
Clearly, if we connect the points Selena Gomez , Ryan Murphy and Keanu Reeves , they will form an isosceles triangle with angle (Selena Gomez, Ryan Murphy , Keanu Reeves ) to be 90°.
Therefore, the angle (Selena Gomez , Keanu Reeves , Ryan Murphy ) must be 45°.