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A person walks 5 km North, then 5 km East, and finally 5 km South. How far is he
Practice Questions
Q1
A person walks 5 km North, then 5 km East, and finally 5 km South. How far is he from his starting point? (2023)
5 km
10 km
0 km
15 km
Questions & Step-by-Step Solutions
A person walks 5 km North, then 5 km East, and finally 5 km South. How far is he from his starting point? (2023)
Steps
Concepts
Step 1: The person starts at a point, which we will call the starting point.
Step 2: The person walks 5 km North. Now, he is 5 km North of the starting point.
Step 3: Next, the person walks 5 km East. Now, he is 5 km North and 5 km East of the starting point.
Step 4: Finally, the person walks 5 km South. This means he moves back down 5 km to the same latitude as the starting point.
Step 5: After walking South, he is now at the same North-South position as the starting point but still 5 km East.
Step 6: Therefore, the final distance from the starting point is 5 km East.
Coordinate Geometry
– Understanding movements in a Cartesian plane and how they affect position.
Distance Calculation
– Calculating the straight-line distance from the starting point after a series of movements.
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