Question

If a man goes to East and then to South, then thetravelled from the starting point.then the trigonometric ratio involved to find the distance​

Answer 1

The distance between the original and new point = √(〖distance traveled eastwards〗^2+〖distance traveled southwards〗^2 )

Step-by-step explanation:

Let the original position of the man be O.

He moves eastwards and covers a distance of x km.

Then, he turns south and travels for y km.

If we join all the points, it forms a right-angled triangle.

Using the Pythagoras theorem, we can calculate the distance between the original point and the new point as z km.

Thus,  

According to the Pythagoras theorem,

z2 = x2 +y2

z = √(x^2+ y^2 )

The distance between the original and new point = √(〖distance traveled eastwards〗^2+〖distance traveled southwards〗^2 )