The man starts by walking 10 km North, then 6 km South, and finally 3 km East.

First, let's calculate his final position in the North-South direction. He walked 10 km North and then 6 km South, so he is 10 - 6 = 4 km North of his starting point.

Then, let's consider his position in the East-West direction. He walked 3 km East, so he is 3 km East of his starting point.

So, his final position with reference to his starting point is 4 km North and 3 km East. This is in the North-East direction.

To find the total distance from his starting point, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, the distance is sqrt((4 km)^2 + (3 km)^2) = 5 km.

Therefore, the man is 5 km away from his starting point in the North-East direction.

So, the correct answer is:

radio_button_unchecked
5 km North-east

Question

The man starts by walking 10 km North, then 6 km South, and finally 3 km East.

First, let's calculate his final position in the North-South direction. He walked 10 km North and then 6 km South, so he is 10 - 6 = 4 km North of his starting point.

Then, let's consider his position in the East-West direction. He walked 3 km East, so he is 3 km East of his starting point.

So, his final position with reference to his starting point is 4 km North and 3 km East. This is in the North-East direction.

To find the total distance from his starting point, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, the distance is sqrt((4 km)^2 + (3 km)^2) = 5 km.

Therefore, the man is 5 km away from his starting point in the North-East direction.

So, the correct answer is:

radio_button_unchecked
5 km North-east

Knowee AI · Accepted Answer

The man starts by walking 10 km North, then 6 km South, and finally 3 km East.

First, let's calculate his final position in the North-South direction. He walked 10 km North and then 6 km South, so he is 10 - 6 = 4 km North of his starting point.

Then, let's consider his position in the East-West direction. He walked 3 km East, so he is 3 km East of his starting point.

So, his final position with reference to his starting point is 4 km North and 3 km East. This is in the North-East direction.

To find the total distance from his starting point, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, the distance is sqrt((4 km)^2 + (3 km)^2) = 5 km.

Therefore, the man is 5 km away from his starting point in the North-East direction.

So, the correct answer is:

radio_button_unchecked
5 km North-east

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