A person goes 3 km North and then turns towards East and goes 6 km. Again he turns to North and goes 6 km. Then he turns to West and goes 10 km. Finally, he turns to his left and goes 6 km. How far is he now from his starting point?

A person goes 3 km North and then turns towards East and goes 6 km. Again he turns to North and goes 6 km. Then he turns to West and goes 10 km. Finally, he turns to his left and goes 6 km. How far is he now from his starting point? Correct Answer 5 km

Movement of the person can be traced as shown in below figure.

[ alt="F1 Resham.R 05-08-2020 Savita D16" src="//storage.googleapis.com/tb-img/production/20/08/F1__Resham.R_05-08-2020_Savita_D16.png" style="width: 461px; height: 364px;">

Applying Pythagoras theorem:

Distance between Person’s Starting point (SP) and End point (EP) will be:

Distance between Starting to End Point = √(42 + 32) = √(16 + 9) = √25 = 5 km

Distance between Starting to End Point = 5 km.

Hence, the distance between End point and Starting point is 5 km.

Related Questions

How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.