Question: 6 -
Deepak walked 20 m towards the South. Then he turned to his left and walked 15 m. He again turned to his left and walked 20 m. Finally, he turned to his right and walked 10m. How far and in which direction is he from the starting point?
-
15 m North
-
15 m East
-
25 m East
-
25 m North
Answer:
25 m East
Solution:
The distance between Deepak and starting point = PT
PT = PS+ST
PT = 15m + 10 m
PT = 25 m
And, T is to the East of P.
The distance between Deepak and starting point = PT
PT = PS+ST
PT = 15m + 10 m
PT = 25 m
And, T is to the East of P.
Question: 7 -
Ramesh is driving towards the North. After travelling 2 km, he turns to his right and covers 5 km. Then he turns to his left and covers 2 km. Finally, he turns to his left and covers 5 km. How far is he from the starting point and in which direction he is driving?
-
4 km West
-
2 km West
-
4 km North
-
2 Km East
Answer:
4 km West
Solution:
The distance between the initial and final position of Ramesh = AE = AB+CD.
So, AE = 2+2 = 4 km and It is clear from the diagram that Ramesh is driving in the West direction.
The distance between the initial and final position of Ramesh = AE = AB+CD.
So, AE = 2+2 = 4 km and It is clear from the diagram that Ramesh is driving in the West direction.
Question: 8 -
Tom left for his office in his car. He travelled 5 km towards the North and then 10 km towards the East. He then travelled 3 km towards the South. Further, he turned to the West and travelled 2 km. Finally, he turned towards the South and travelled 2 km. How far and in which direction is he from the starting point?
-
2 km South
-
7 km East
-
8 km South
-
8 km East
Answer:
8 km East
Solution:
A and F are in the same line, and F lies to the East of A.
Distance from the starting point = A F = BC - DE
AF = 10 - 2 = 8 km
So, Tom is 8 km East from the starting point A.
A and F are in the same line, and F lies to the East of A.
Distance from the starting point = A F = BC - DE
AF = 10 - 2 = 8 km
So, Tom is 8 km East from the starting point A.
Question: 9 -
Manoj covered a distance of 50 m towards the North. He then turned to his left and walked 20 m. He again turned left and walked 60m. Finally, he turned to his right at an angle of 45°. In which direction is he moving finally?
-
North-West
-
South-West
-
South-East
-
North-East
Answer:
South-West
Solution:
The point T is towards South-West of the starting point P.
The point T is towards South-West of the starting point P.
Question: 10 -
Geeta walks 20 m towards north then she walks 12 m towards the South. Now, she walks 6 m towards east. How far and in which direction is she from the starting point?
-
6 m South-West
-
10 m North
-
10 m North-East
-
6 m East
Answer:
10 m North-East
Solution:
AC = 20 - 12 = 8 km
CD = 6 m
AD2 = 82 + 62
AD2 = 64 + 36
AD2 = 100
AD = 10 m
D is towards North-East of the starting point A.
AC = 20 - 12 = 8 km
CD = 6 m
AD2 = 82 + 62
AD2 = 64 + 36
AD2 = 100
AD = 10 m
D is towards North-East of the starting point A.