James walks in the West direction, turns left and walks another . How far and in which direction is he from his starting point?
- ASouth-West
- BSouth
- CNorth
- DEast
Solution & Step-by-step Explanation
Let's trace James' movement starting from the origin :
1. He walks West reaches point .
2. He turns left (which faces South) and walks reaches final point .
To find the straight-line distance from the starting point to , we form a right-angled triangle and apply Pythagoras' theorem:
To find the direction of point relative to :
* It lies in the direction between West and South, which is South-West.
Therefore, he is South-West from his starting point.
1. He walks West reaches point .
2. He turns left (which faces South) and walks reaches final point .
To find the straight-line distance from the starting point to , we form a right-angled triangle and apply Pythagoras' theorem:
To find the direction of point relative to :
* It lies in the direction between West and South, which is South-West.
Therefore, he is South-West from his starting point.