Avika goes 4 km in east and then goes 3 km in north, What is the shortest distance from her starting point to the end point?0.7xen-US13 km27 km35 km44 km

The shortest distance from the starting point to the end point can be found using the Pythagorean theorem, which 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.

Here, Avika's movement forms a right-angled triangle. The distance she travels east becomes one side of the triangle, the distance she travels north becomes the other side, and the shortest distance from the starting point to the end point becomes the hypotenuse.

Given: Side A (East) = 4 km Side B (North) = 3 km

We need to find the hypotenuse (C).

According to the Pythagorean theorem:

C^2 = A^2 + B^2 C^2 = (4 km)^2 + (3 km)^2 C^2 = 16 km^2 + 9 km^2 C^2 = 25 km^2

Taking the square root of both sides to solve for C gives:

C = sqrt(25 km^2) C = 5 km

So, the shortest distance from her starting point to the end point is 5 km.