A man walks 3km E and then 4km N. What is his resultant displacement?

How did u get 5 cause 3 +4 is not 5 explain

To find the resultant displacement of the man, you can use the Pythagorean theorem, which 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 walked 3km to the east and then 4km to the north, forming a right triangle. The length of one side is 3km (along the east direction), and the length of the other side is 4km (along the north direction). Let's call the resultant displacement "d."

Using the Pythagorean theorem, we can calculate the value of "d":

d^2 = (3km)^2 + (4km)^2
d^2 = 9km^2 + 16km^2
d^2 = 25km^2

Taking the square root of both sides, we find:

d = √(25km^2)
d = 5km

Therefore, the man's resultant displacement is 5km.

D = 3 + 4i = 5km[53.1o]. N. of E.