Anshul's Movement:

Anshul's movement can be described as follows:
1. He moves towards the east for a distance of 5 meters.
2. He then turns to his left (which is north) and walks 20 meters.
3. Again, he turns left (which is west) and walks 15 meters.
4. Finally, he turns 45 degrees towards his right (which is north-west) and walks straight to cover a distance of 20√2 meters.

Finding the Distance:

To find the distance Anshul is from his starting point, we can use the concept of vectors. We can break down each movement into its respective north and west components.

1. East Movement (5 meters):
- North Component: 0 meters
- West Component: -5 meters

2. North Movement (20 meters):
- North Component: +20 meters
- West Component: 0 meters

3. West Movement (15 meters):
- North Component: 0 meters
- West Component: +15 meters

4. North-West Movement (20√2 meters):
- North Component: +20√2 meters
- West Component: -20√2 meters

Calculating the Resultant Vector:

To find the resultant vector, we need to add up the north and west components. The resultant north component will be the sum of all north components, and the resultant west component will be the sum of all west components.

Resultant North Component = (0 + 20 + 0 + 20√2) meters
Resultant West Component = (-5 + 0 + 15 - 20√2) meters

Calculating the Distance:

To find the distance from the starting point, we can use the Pythagorean theorem, which states that the square of the hypotenuse (distance) is equal to the sum of the squares of the other two sides.

Distance^2 = (Resultant North Component)^2 + (Resultant West Component)^2

Plugging in the values:
Distance^2 = [(0 + 20 + 0 + 20√2)^2] + [(-5 + 0 + 15 - 20√2)^2]

Simplifying the equation:
Distance^2 = (400 + 800√2 + 800) + (25 + 0 + 225 + 800√2)

Further simplification:
Distance^2 = 1425 + 1600√2

Taking the square root of both sides:
Distance = √(1425 + 1600√2)

Therefore, the distance from the starting point is √(1425 + 1600√2) meters.

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