Question 43
Raju walks 10 km north, then takes a right and travels for 5 more km. He then takes another right to travel for 15 km more, then takes another right to run for 10km. Finally, he takes another right and jogs for 17 km to reach a point. What is the shortest distance between the final point and the starting point, and also, which direction is Raju facing at the end?
Solution
The diagram looks like below according to the question,
So, the distance between the starting and the finishing point is obtained using the Pythagoras theorem and is obtained as,
Distance $$=\ \sqrt{\ 12^2\ +\ 5^2}\ =\ \sqrt{\ 144\ +\ 25}\ =\ 13\ km$$
Raju is facing the North direction at the end.
The correct answer is Option C.
