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A person starts walking from his home in east direction and after walking 20 meter he took a left turn and walk 30 meters. Now he took a right turn and walks 10 meter to reach the bus stand. Find the distance between home and stand.
- a)20√2
- b)30√2
- c)40√2
- d)50√2
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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A person starts walking from his home in east direction and after walk...
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A person starts walking from his home in east direction and after walk...
The person first walked 20 meters in the east direction. Then, he took a left turn and walked 30 meters. This means he walked a total of 20 + 30 = 50 meters in the north direction. Finally, he took a right turn and walked 10 meters towards the bus stand.
We can draw this on the graph as follows:
Home -----> 20m east -----> 30m north -----> 10m east (bus stand)
To find the distance between home and the bus stand, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the distance between home and the bus stand is the hypotenuse of a right triangle with sides of 50 meters and 10 meters. So, using the Pythagorean theorem, we have:
Distance^2 = 50^2 + 10^2
Distance^2 = 2500 + 100
Distance^2 = 2600
Distance = sqrt(2600)
Distance = 50.99 meters (approx)
Therefore, the distance between home and the bus stand is approximately 50.99 meters.
We can draw this on the graph as follows:
Home -----> 20m east -----> 30m north -----> 10m east (bus stand)
To find the distance between home and the bus stand, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the distance between home and the bus stand is the hypotenuse of a right triangle with sides of 50 meters and 10 meters. So, using the Pythagorean theorem, we have:
Distance^2 = 50^2 + 10^2
Distance^2 = 2500 + 100
Distance^2 = 2600
Distance = sqrt(2600)
Distance = 50.99 meters (approx)
Therefore, the distance between home and the bus stand is approximately 50.99 meters.
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A person starts walking from his home in east direction and after walk...
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