Kokila turned 45 degrees right, then 90° left and then 45° right and is now moving towards east. Which direction she was heading in before?
East
Understanding Directional Movements and Net Change
The question asks about Kokila's initial direction before a series of turns, given her final direction. We are told she made three turns and ended up facing East. To find the starting direction, we need to analyze the total effect of her turns.
Step-by-Step Analysis of Turns
Let's list the turns Kokila made:
- Turn 1: 45 degrees right
- Turn 2: 90 degrees left
- Turn 3: 45 degrees right
Calculating the Net Turn
To find the overall change in direction, we can sum up the right turns and the left turns separately, and then find the difference. A right turn is opposite in effect to a left turn.
- Total Right Turn = 45° + 45° = 90° Right
- Total Left Turn = 90° Left
Now, we find the net change:
\text{Net Turn} = \text{Total Right Turn} - \text{Total Left Turn}
\text{Net Turn} = 90° \text{ Right} - 90° \text{ Left}
\text{Net Turn} = 0°
A net turn of 0 degrees means that after all the movements, Kokila is facing in the exact same direction she was facing before starting the turns.
Determining the Initial Direction
We know that after the turns, Kokila is moving towards the East direction. Since the total change in direction was 0 degrees, her initial direction must have been the same as her final direction.
- Final Direction: East
- Net Change: 0°
- Initial Direction = Final Direction
Therefore, Kokila was heading in the East direction before she started making the turns.
| Turn | Direction | Angle |
|---|---|---|
| 1 | Right | 45° |
| 2 | Left | 90° |
| 3 | Right | 45° |
| Total Right Turn | Total Left Turn | Net Turn |
|---|---|---|
| 90° | 90° | 0° |
Since the net turn is zero, the initial direction is the same as the final direction, which is East.
Important Questions from Direction and Distance
Mukesh was facing the south. He walked 5 km straight and from there he turned at a 90° angle to his right and walked 5 km. Then he turned at a 45° angle to his left and walked 3 km. Where will he be from his actual position?
Sita took an auto from her home in Andheri (A) to go to her college in Fatehpuri (F). Rather than continuing straight on the direct road to the college that had no turns, the auto driver took a diversion after 10 km and tumed right at Bandra (B) crossing, then at Colaba T- point (C) after 8 km turned left, again after covering 12 km turned left at Dalhousi Building (D) and soon after 8 km turned right at Elphinston point (E) and after covering 4 km reached Fatehpuri (F). Had the auto driver taken the direct route how much less distance would Sita have actually travelled between the starting point and the destination?
Radha walks a distance of 9 m towards the South-East. Then she walks 15 m towards the West. From here, she walks 9 m towards the North-West. Finally she walks 6 m towards the East and stands at the point. How far is she standing from the starting point?
According to the time by Nihaal's watch its half past one and the hour hand is pointing towards the north-east. Assuming that there is no change in Nihaal's position, in which direction would the minute hand point after 30 minutes?
According to the time by Rohan's watch, it is half past 6 and the watch's hands are pointing to the south. In which of the given directions will the minute-hand point AFTER exactly 24 hours?
