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.

Since the net turn is zero, the initial direction is the same as the final direction, which is East.