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Mr. Vivek walks 6 meters North-East, then turns and walk 6 meters Soth-East, both at 60 degrees ti East. He further moves 2 meters South And 4 meters West. What is the straight distance in meters between the point he started from and the finally the point he reached?
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Mr. Vivek walks 6 meters North-East, then turns and walk 6 meters Soth...
Calculation of Straight Distance Traveled by Mr. Vivek


Given Information


  • Mr. Vivek walks 6 meters North-East

  • He turns and walks 6 meters South-East at 60 degrees to East

  • He further moves 2 meters South and 4 meters West



Steps to Calculate


  1. Calculate the distance traveled in the first leg (North-East to South-East)

  2. Calculate the distance traveled in the second leg (South and West)

  3. Use the Pythagorean theorem to calculate the straight distance between the starting point and ending point



Calculations

Using trigonometry, we can calculate the distance traveled in the first leg:


  • Distance traveled North: 6*cos(45) = 4.24 meters

  • Distance traveled East: 6*sin(45) = 4.24 meters

  • Distance traveled South: 6*cos(60) = 3 meters

  • Distance traveled East: 6*sin(60) = 5.2 meters


Therefore, the total distance traveled in the first leg is:

4.24 + 5.2 + 3 = 12.44 meters

Using the given information, we can calculate the distance traveled in the second leg:


  • Distance traveled South: 2 meters

  • Distance traveled West: 4 meters


Therefore, the total distance traveled in the second leg is:

sqrt(2^2 + 4^2) = 4.47 meters


Solution

Using the Pythagorean theorem, we can calculate the straight distance between the starting point and ending point:

sqrt((12.44 - 4.47)^2 + (4.24 - 2)^2) = sqrt(88.51) = 9.4 meters


Conclusion

Therefore, the straight distance traveled by Mr. Vivek between the starting point and ending point is 9.4 meters.
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Mr. Vivek walks 6 meters North-East, then turns and walk 6 meters Soth...
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Mr. Vivek walks 6 meters North-East, then turns and walk 6 meters Soth-East, both at 60 degrees ti East. He further moves 2 meters South And 4 meters West. What is the straight distance in meters between the point he started from and the finally the point he reached?
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