Question

A man walks from point A and walks a distance of 3.0 due northeastern B he walks 4.0km due southeastern point X calculate the shortest distance between A and X

Answer 1

The shortest distance between point A and point X is 5.0 km.

Step-by-step explanation:

To find the shortest distance between point A and point X, we can use the Pythagorean theorem. Since the man walks 3.0 km northeast and then 4.0 km southeast, we can consider these paths as two sides of a right triangle. The distance between A and X is the hypotenuse of this triangle.

Let's assume that the distance between A and X is 'd'. We can apply the Pythagorean theorem to find 'd':

d^2 = (3.0 km)^2 + (4.0 km)^2

d^2 = 9.0 km^2 + 16.0 km^2

d^2 = 25.0 km^2

d = 5.0 km

So, the shortest distance between point A and point X is 5.0 km.