How to Find the Distance Between Starting & End Point Using Directions?

By Team Aakash Byju's | 19th January 2023

A person travels 12 km in the southward direction and then travels 5 km to the right and then travels 15 km towards the right and finally travels 5 km towards the east. How far is he from his starting place?

The correct answer is option A. 3km

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[{"selector":"#anim-803a644f-6616-490b-a689-9a1446b7a0ab","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-6c91f9b5-968c-4b53-9c65-883182cb3983","keyframes":{"transform":["translate3d(-115.45741%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Let the person start from point P as shown in the diagram below. The diagram also shows how long he travelled in each direction. 5 km east from S 12 km south from p 5 km right from Q 15 km Right from R

[{"selector":"#anim-857ddd99-d188-4e1f-b65b-fb6d259f60aa","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-8ea58a36-3af6-4f02-ac8d-0215565bc2f8","keyframes":{"transform":["translate3d(-115.45741%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Since all are straight lines and note that ST = RQ. So, the distance between R and S should be the same as the distance between T and Q. 12 km south from p 5 km right from Q 15 km Right from R 5 km east from S

[{"selector":"#anim-fc6c15e6-2693-4d6a-bef1-fc5d35894f50","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-074948cd-1751-4e04-af4b-225a60a42613","keyframes":{"transform":["translate3d(-115.45741%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Since RS = 15 km and RS = TQ = 15 km Where TQ = TP + PQ => 15 = TP + 12 => TP = 15 − 12 = 3 km 12 km south from p 5 km right from Q 15 km Right from R 5 km east from S

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How to Find the Distance Between Starting & End Point Using Directions?

A person travels 12 km in the southward direction and then travels 5 km to the right and then travels 15 km towards the right and finally travels 5 km towards the east. How far is he from his starting place?

A.

B.

C.

D.

3 km

5 km

12 km

13.3 km

The correct answer is option A. 3km

Detailed Explanation

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