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The door of Adithya's house faces the East. From the back side of his house, he walks straight 50 metres, then turns to the right and walks 50 metres again. Finally, he turns towards left and stops after walking 25 metres. Now, Aditya is in which direction from the starting point?
Since Aditya's house faces towards East and he walks from backside of his house, it means that he starts walking towards West. Thus, the movements of Aditya are as shown in Figure (A to B, B to C, C to D).
Clearly, Aditya's final position is D which is to the North-west of the starting point A.
A man is facing south. He turns 135° in the anticlockwise direction and then 180° in the clockwise direction. Which direction is he facing now?
As shown in Figure, the man initially faces in the direction OA. On moving 135° anticlockwise, he faces in the direction OB. On further moving 180° clockwise, he faces in the direction OC, which is South-west.
A man walks 30 metres towards South. Then, turning to his right, he walks 30 metres. Then, turning to his left, he walks 20 metres. Again, he turns to his left and walks 30 metres. How far is he from his initial position?
The movements of the man are as shown in figure.
Man's distance from initial position A = AE = (AB + BE) = (AB + CD) = (30 + 20) m = 50 m.
If South-east is called 'East', 'North-west' is called 'West', 'South-west' is called 'South' and so on, what will 'North' be called?
In diagram (i) the directions are shown as they actually are.
Diagram (ii) is as per the given data.
So, comparing the direction of North in (i) with that in (ii), North will be called North west.
Starting from a point P, Sachin walked 20 metres towards South. He turned left and walked 30 metres. He then turned left and walked 20 metres. He again turned left and walked 40 metres and reached a point Q. How far and in which direction is the point Q from the point P?
The movements of Sachin are as shown in Figure. (P to B, B to C, C to D and D to Q).
Clearly, distance of Q from P = PQ = (DQ - PD) = (DQ - BC) = (40 - 30) m = 10 m.
Also, Q is to the West of P.
Q is 10 m West of P.
Raj travelled from a point X straight to Y at a distance of 80 metres. He turned right and walked 50 metres, then again turned right and walked 70 metres. Finally, he turned right and walked 50 metres. How far is he from the starting point?
The movements of Raj are as shown in Figure. (X to Y, Y to A, A to B, B to C). Rajâ's distance from the starting point X = XC = (XY - YC) = (XY - BA) = (80 - 70) m = 10 m.
A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point?
The movements of A are as shown in figure. (O to P, P to Q, Q to R, R to S and S to T).
Since TS = OP + QR, so T lies in line with O.
A's distance from the starting point O = OT = (RS - PQ) = (15 - 10) m = 5m.
A man is facing north-west. He turns 90° in the clockwise direction, then 180° in the anticlockwise direction and then another 90° in the same direction. Which direction is he facing now?
As shown in figure, the man initially faces in the direction OP. On moving 90° clockwise, he faces in the direction OX. On further moving 180° anticlockwise, he faces in the direction OY. Finally, on moving 90° anticlockwise, he faces in the direction OZ, which is South-east.
A, B, C and D are playing cards. A and B are partners. D faces towards North. If A faces towards West, then who faces towards South?
As per the data, D faces North. A faces towards West. So, its partner B will face towards A and hence towards East. So, C who will face D will face towards South.
One eveving before sunset two friends Sumit and Mohit were taling to each other face to face. If Mohit's shadow was exactly to his right side, which direction was Sumit facing?
In the evening, sun is in the west and so the shadow fall towards east. Now, since Mohit's shadow fell towards right, therefore, Mohit is facing North. So, Sumit standing face to face with Mohit, was facing South.
Ramakant walks northwards. After a while, he turns to his right and a little further to his left. Finally, after walking a distance of one kilometre, he turns to his left again. In which direction is he moving now?
The movements of Ramakant are as shown in figure.
Clearly, he is finally walking in the direction DE i.e. West.
Ravi wants to go to the university. He starts from his home, which is in the East and comes to a crossing. The road to the left ends in a theatre, straight ahead is the hospital. In which direction is the university?
Starting from his house in the East, Ravi moves westwards. Then, the theatre, which is to the left, will be in the South. The hospital, which is straight ahead will be to the West. So, the University will be to the North.
One morning after sunrise, Gopal was standing facing a pole. The shadow of the pole fell exactly to his right. Which direction was he facing?
Sun rises in the east in the morning. So, in morning, the shadow falls towards the west. Now, Gopal's shadow falls to the right. So, he is standing, facing South.
Gaurav walks 20 metres towards North. He then turns left and walks 40 metres. He again turns left and walks 20 metres. Further he moves 20 metres after turning to the right. How far is he from his original position?
The movements of Gaurav are as shown in Figure.
Clearly, Gaurav's distance from his initial position P = PX = (PS + SX) = (QR + SX) = (40 + 20) m = 60 m.
A man is facing north-west. He turns 90° in the clockwise direction and then 135° in the anticlockwise direction. Which direction is he facing now?
As shown in figure, the man initially faces in the direction OP. on moving 90° clockwise, the man faces in the direction OQ. On further moving 135° anticlockwise, he faces in the diresction OR, which is West.