Rishabh was facing the Zoo initially. He turned 135° clockwise. Where is he facing now? Then he turns in the anticlockwise direction to face the Garden. What angle did he turn through?

Points to Remember:

• Understanding clockwise and anticlockwise rotations.
• Calculating angles based on a 360° circle.
• Visualizing the directions.

Introduction:

This question involves basic geometry and spatial reasoning. It tests the understanding of angles and directions, specifically clockwise and anticlockwise rotations. We will use a 360-degree circle as a reference point to determine Rishabh’s final facing direction and the angle of his second turn.

Body:

Rishabh’s First Turn:

Initially, Rishabh is facing the Zoo. A clockwise rotation of 135° means he moves 135° to the right from his initial position. This leaves him facing somewhere between South and West. To be precise, if we consider North as 0°, East as 90°, South as 180°, and West as 270°, a 135° clockwise rotation from North (assuming he initially faced North towards the Zoo) places him at 135°.

Rishabh’s Second Turn:

Next, Rishabh turns anticlockwise to face the Garden. We need additional information to determine the exact angle of this second turn. Let’s assume, for the sake of illustration, that the Garden is located at 270° (West). To reach this position from his current position of 135°, he needs to turn anticlockwise by 135° (270° – 135° = 135°).

Determining the Angle of the Second Turn (Alternative Scenario):

If, however, the Garden was located at a different angle, the angle of the second turn would change. For instance, if the Garden was located at 0° (North), the anticlockwise turn would be 135°. If the Garden was located at 90° (East), the anticlockwise turn would be 225° (360° – 135° + 90° = 225°). The question lacks the crucial information about the Garden’s location relative to the Zoo.

Conclusion:

After his first turn, Rishabh is facing 135° clockwise from his initial position (assuming he started facing North). The angle of his second turn depends entirely on the location of the Garden relative to the Zoo and his position after the first turn. Without knowing the Garden’s location, we cannot definitively determine the angle of the second turn. To solve this completely, the question needs to specify the relative positions of the Zoo and the Garden. A diagram illustrating the positions would significantly improve clarity. Further, incorporating compass directions into the problem statement would enhance precision and avoid ambiguity.