Select the correct answerA person starts walking from his home towards the market. He walks for 40m towards south. He takes 90 degrees right turn and walks for 10 m. Again,taking 90 degreesturn, he walks for another 20m. He then walks for 35m after taking a 90-degree right turn. Turning 90 degrees towards his left he walks for 20m to reach the market. How far and in which direction is the market from his home?Options25 m towards east20 m towards east20 m towards west25 m towards south
Question
Select the correct answerA person starts walking from his home towards the market. He walks for 40m towards south. He takes 90 degrees right turn and walks for 10 m. Again,taking 90 degreesturn, he walks for another 20m. He then walks for 35m after taking a 90-degree right turn. Turning 90 degrees towards his left he walks for 20m to reach the market. How far and in which direction is the market from his home?Options25 m towards east20 m towards east20 m towards west25 m towards south
Solution
The market is 20 m towards West from his home.
Here's the step by step explanation:
- The person starts at his home and walks 40m South.
- He then takes a 90 degree turn to the right (which would be West) and walks 10m.
- He takes another 90 degree turn to the right (which would be North) and walks 20m. At this point, he is 20m South of his starting point (40m - 20m).
- He takes a 90 degree turn to the right (which would be East) and walks 35m.
- He then takes a 90 degree turn to the left (which would be North) and walks 20m. At this point, he is at the same latitude as his starting point (20m South - 20m North).
- Therefore, the market is 20m West of his starting point, because he walked 10m West and then 35m East, which is a net movement of 25m East. But since East is the opposite direction of West, the market is 20m West of his home.
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