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Mr. Deshmukh starts from his school, travels a distance of 2 km southward, and then travels a distance of 4 km towards east, then a distance of 3 km to his right, and then he turned right and traveled 4 km and 2 km after the first and second turns respectively. Finally he traveled 4 km towards east. How far is he from his school and in which direction?
(a) 5 km and South-east
(b) 5 km and North-west
(c) 7 km and South
(d) 7 km and South-east
Correct answer is 'a'?
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Most Upvoted Answer
Mr. Deshmukh starts from his school, travels a distance of 2 km southw...
Solution:

To find the distance and direction of Mr. Deshmukh from his school, we need to draw a diagram of his path.

1. Drawing the diagram:

Let's assume that Mr. Deshmukh's school is at the origin of a Cartesian plane. Then, his path can be represented as follows:

- He travels 2 km southward, which means he moves down 2 units on the y-axis.
- Then, he travels 4 km towards east, which means he moves right 4 units on the x-axis.
- After that, he turns right and travels 3 km to his right, which means he moves up 3 units on the y-axis.
- Then, he turns right again and travels 4 km, which means he moves right 4 units on the x-axis.
- Finally, he travels 4 km towards east, which means he moves right 4 units on the x-axis again.

The diagram of his path looks like this:

```
(0,6) (4,6)
o--------------o
| |
| |
| |
| |
| |
| |
| |
| |
o--------------o
(0,4) (4,4)
```

2. Calculating the distance and direction:

Now, we can use the Pythagorean theorem to find the distance between Mr. Deshmukh's current location and his school, which is at the origin.

- The horizontal distance between his current location and his school is 4 km + 4 km = 8 km.
- The vertical distance between his current location and his school is 2 km + 3 km = 5 km.

Therefore, the distance between his current location and his school is:

```
distance = sqrt((8 km)^2 + (5 km)^2) = 9.43 km (approx.)
```

To find the direction, we can use trigonometry. The angle between the horizontal distance and the hypotenuse is:

```
theta = atan(5 km / 8 km) = 32.47 degrees (approx.)
```

Since the horizontal distance is towards east and the vertical distance is towards south, the direction is south-east.

Therefore, the correct answer is (a) 5 km and South-east.
Community Answer
Mr. Deshmukh starts from his school, travels a distance of 2 km southw...
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Mr. Deshmukh starts from his school, travels a distance of 2 km southward, and then travels a distance of 4 km towards east, then a distance of 3 km to his right, and then he turned right and traveled 4 km and 2 km after the first and second turns respectively. Finally he traveled 4 km towards east. How far is he from his school and in which direction? (a) 5 km and South-east(b) 5 km and North-west (c) 7 km and South (d) 7 km and South-eastCorrect answer is 'a'?
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Mr. Deshmukh starts from his school, travels a distance of 2 km southward, and then travels a distance of 4 km towards east, then a distance of 3 km to his right, and then he turned right and traveled 4 km and 2 km after the first and second turns respectively. Finally he traveled 4 km towards east. How far is he from his school and in which direction? (a) 5 km and South-east(b) 5 km and North-west (c) 7 km and South (d) 7 km and South-eastCorrect answer is 'a'? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Mr. Deshmukh starts from his school, travels a distance of 2 km southward, and then travels a distance of 4 km towards east, then a distance of 3 km to his right, and then he turned right and traveled 4 km and 2 km after the first and second turns respectively. Finally he traveled 4 km towards east. How far is he from his school and in which direction? (a) 5 km and South-east(b) 5 km and North-west (c) 7 km and South (d) 7 km and South-eastCorrect answer is 'a'? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. Deshmukh starts from his school, travels a distance of 2 km southward, and then travels a distance of 4 km towards east, then a distance of 3 km to his right, and then he turned right and traveled 4 km and 2 km after the first and second turns respectively. Finally he traveled 4 km towards east. How far is he from his school and in which direction? (a) 5 km and South-east(b) 5 km and North-west (c) 7 km and South (d) 7 km and South-eastCorrect answer is 'a'?.
Solutions for Mr. Deshmukh starts from his school, travels a distance of 2 km southward, and then travels a distance of 4 km towards east, then a distance of 3 km to his right, and then he turned right and traveled 4 km and 2 km after the first and second turns respectively. Finally he traveled 4 km towards east. How far is he from his school and in which direction? (a) 5 km and South-east(b) 5 km and North-west (c) 7 km and South (d) 7 km and South-eastCorrect answer is 'a'? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
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