Question

I drove 50 km towards east from a city 'S' and
then turned right and drove another 30 km.
Now I turned to my left & drove another 30
km. Finally I turned my right & drove 30 km to
reach a city 'F'. Find the shortest straight
distance between cities S and F.​

Answer 1

100 KM IS CORRECT ANSWER

Answer 2

Given:

Staring point =S

Final point = F

To find:

The shortest straight distance between cities S and F.

Solution:

We can see from the figure that I have driven 80 kms in the x axis and 60 kms in the y axis.

The shortest distance between points S and F will be a straight line joining the point S and F.

From Pythagorean theorem, distance SF will be:

$SF=\sqrt{80^{2} +60^{2} }$

$SF=\sqrt{6400+3600}$

$SF=\sqrt{10000}$

SF = 100 kms

Therefore the shortest straight distance is 100 kms.