Question

A tourist has strayed from his path while on his way to his hotel. he moves 28 km towards south, then moves 20 km towards west, then 4 km towards north and then 2 km towards east to reach his hotel. what is the distance of shortest possible route?

Answer 1

30 km is the distance of shortest possible route

Answer 2

See attachment

Find the vertical distance away from the hotel:

28 - 4 = 24 km

Find the horizontal distance away from the hotel:

20 - 2 = 18 km

Find the shortest distance (which is the hypotenuse):

a² + b² = c²

c² = 24² + 18²

c² = 900

c = √900

c = 30 km

Answer: The shortest route is 30 km away