A man rides a motorcycle 12km due east and 5km due South, calculate the distance covered
clearly, 12+5 = 17 km
If you meant just how far away he had moved from where he started, use the Pythagorean Theorem. Draw a diagram if that helps.
To solve this problem, we can use the Pythagorean theorem to find the distance covered by the man on the motorcycle.
The Pythagorean theorem states that in a right 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.
In this case, the man's path forms a right triangle, with the distance ridden due east being one side, and the distance ridden due south being another side. The distance covered by the motorcycle is the length of the hypotenuse.
Using the Pythagorean theorem, we can calculate the distance as follows:
Distance^2 = (Distance ridden due east)^2 + (Distance ridden due south)^2
Distance^2 = 12^2 + 5^2
Distance^2 = 144 + 25
Distance^2 = 169
Taking the square root of both sides, we find:
Distance = √169
Distance = 13
Therefore, the man covered a distance of 13 kilometers.