Madhu cycled 5 km southwards, turned right and cycled 6 km and then turned…

To solve this directional movement problem, let's track Madhu's path step-by-step using a coordinate system where the starting point is (0, 0).

Step-by-Step Analysis
Start: Madhu begins at (0, 0).

Move 1: Cycled 5 km south.

South movement decreases the y-coordinate.

New position: (0, -5).

Move 2: Turned right and cycled 6 km.

Since she was facing south, a right turn means she is now facing west. West movement decreases the x-coordinate.

New position: (-6, -5).

Move 3: Turned right and cycled 5 km.

Facing west, a right turn means she is now facing north. North movement increases the y-coordinate.

New position: (-6, -5 + 5) = (-6, 0).

Move 4: Turned right and cycled 7 km.

Facing north, a right turn means she is now facing east. East movement increases the x-coordinate.

New position: (-6 + 7, 0) = (1, 0).

Calculating the Final Distance
Madhu's final position is (1, 0) and the starting point was (0, 0). The straight-line distance is the difference along the x-axis:

Distance = 1 km - 0 km = 1 km.