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A man walks 2 m due east and then 1.2 m due north. Fine his distance from the starting point.?
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A man walks 2 m due east and then 1.2 m due north. Fine his distance f...
Distance Calculation of a Walking Man


Given Information:


  • Initial position: Starting Point

  • First Movement: 2 m due East

  • Second Movement: 1.2 m due North



Calculating Distance:


To calculate the distance of the man from the starting point, we need to use the Pythagorean theorem which states that the square of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the other two sides.



Step 1: Identify the Sides of the Triangle


We have two movements - one towards the East and another towards the North. These movements form the two sides of the right-angled triangle.


  • Side a = 2 m (towards the East)

  • Side b = 1.2 m (towards the North)



Step 2: Calculate the Length of the Hypotenuse


Using the Pythagorean theorem, we can calculate the length of the hypotenuse (c) as follows:

c² = a² + b²

c² = (2 m)² + (1.2 m)²

c² = 4 m² + 1.44 m²

c² = 5.44 m²

c = √5.44 m

c = 2.33 m (approximately)

Therefore, the man is approximately 2.33 meters away from the starting point.

Conclusion:


The man is approximately 2.33 meters away from the starting point after walking 2 m due East and then 1.2 m due North.
Community Answer
A man walks 2 m due east and then 1.2 m due north. Fine his distance f...
0.8m
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A man walks 2 m due east and then 1.2 m due north. Fine his distance from the starting point.?
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