Question Details

Shivani drives 17 km to the North, then drives 9 km East, and then drives 17 km South.
How far is Shivani from the starting point when considered in a straight line?

Options

A

9 km

B

17 km

C

12 km

D

26 km

Show Answer

Correct Answer :

Option A

9 km

Solution :

The correct answer is 9 km.

Let us trace Shivani's path step-by-step to determine her final position relative to the starting point:

1. First leg of the journey: Shivani starts at a point, let's call it A. She drives 17 km to the North, arriving at point B. The distance AB=17 km in the North direction.
2. Second leg of the journey: From point B, she turns and drives 9 km to the East, arriving at point C. The distance BC=9 km in the East direction.
3. Third leg of the journey: From point C, she turns and drives 17 km to the South, arriving at her final destination, point D. The distance CD=17 km in the South direction.

Since North and South are opposite directions, the 17 km drive South directly cancels out the 17 km drive North in terms of vertical displacement.
This forms a rectangle ABCD, where:
- The North-South sides are equal: AB=CD=17 km.
- The East-West sides must also be equal: AD=BC=9 km.

Therefore, the straight-line distance from the starting point A to the final point D is equal to BC, which is 9 km.

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