Directions: Read the given information carefully and answer the questi...
Understanding the Directions
To solve this problem, we need to understand the movements of Raman and Shyam clearly.
Step-by-Step Movements
- **Raman's Walk**
- Raman starts at his house and walks **100 m North**.
- From there, he walks **100 m West**. Now, he is at Shyam's house.
- **Location of Shyam's House**
- At this point, we can visualize Raman being **100 m North** and **100 m West** from his original position.
Direction to the Market
- **Market's Position**
- The market is located in the **South-West** direction from Shyam's house.
- Since Shyam's house is **100 m North** and **100 m West** of Raman's house, the South-West direction from Shyam's house will mean moving downwards and to the left on a standard map.
Relative Positioning
- **Market's Location Relative to Raman's House**
- If the market is in the South-West of Shyam's house, it would also be **South-West** of Raman's house, but since it is mentioned that the market is **West** of Raman's house, we need to calculate accordingly.
Calculating the Distance
- **Distance to the Market**
- The market's exact location is not specified, but we know it is in the West direction from Raman's house.
- The distance from Raman's house to the market can be visualized using the Pythagorean theorem or simply inferred from the directions.
- Since the options provided include 100 m, 150 m, 400 m, and "None of these," we deduce that the market's distance from Raman's house must be greater than 100 m, leading us to conclude that it is likely to be **400 m** (the only option left that could satisfy the conditions).
Conclusion
Therefore, the correct answer is **None of these**, as the market's distance is indeed not explicitly provided in the options.
Directions: Read the given information carefully and answer the questi...
According to the problem,
Here, A is the starting point i.e., Raman's house. C is Shyam's house and D is the market.
From figure we can say,
AE and BC are parallel to each other with same lengths i.e., AE = BC = 100 m
AB and CE are parallel to each other with same lengths i.e., AB = CE = 100 m
From triangle DCE,
As we know that point D is in South-West to point C i.e., Shyam's house so we can say that ∠DCE = 45
o and ∠CED = 90
oNow,
∠C + ∠D + ∠E = 180
o45
o + 90
o + ∠D = 180
o∠D = 180 − 135 = 45
oWe know Tan 45
o = 1, From triangle DCE,
CE = DE = 100 m
Now we have to find the distance between Raman's house and Market i.e., AD = AE + DE
= 100 + 100 = 200 m
Therefore the distance between Raman's house and market is 200 m.