Kiran started walking towards east .After walking 10m,he took a...
To determine Kiran's final position, we can visualize his movements as follows:
● Kiran starts by walking towards the east.
● After walking 10m, he takes a right turn, which means he is now facing south.
● He walks 10m in the southern direction.
● He then takes a left turn, which means he is now facing east again.
● Kiran walks 30m towards the east.
● Next, he takes another left turn, which means he is now facing north.
● Finally, he walks 40m towards the north.
If we analyze these movements, we can see that Kiran has essentially moved 30m towards the east and 40m towards the north.
To find the straight-line distance from the starting point to Kiran's final position, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the eastward movement represents the horizontal side of the triangle, and the northward movement represents the vertical side. Let's call the eastward movement "x" and the northward movement "y."
Using the Pythagorean theorem, we have:
(x^2) + (y^2) = (30^2) + (40^2)
x^2 + y^2 = 900 + 1600
x^2 + y^2 = 2500
Underroot of (2500) = 50
Therefore, the correct answer is option 'c) North-east 50m.'