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Question : 20 of 38

Marks: +1, -0

A man walks 1 km towards East and then he turns to South and walks 5 km Again he turns to East and walks

2 {km}

after this he turns to North and walks

9 {km} .

Now, how far is he from his from his starting point?

3 km
4 km
5 km
7 km

Solution:

Concept:

Use coordinate geometry: let starting point be

(0,0)

, East is

+x

, North is

+y

.

Explanation:

Start at

(0,0)

.

1 km East →

(1,0)

.

5 km South →

(1, -5)

.

2 km East →

(3, -5)

.

9 km North →

(3, 4)

.

Distance from start =

\sqrt{(3-0)^2 + (4-0)^2} = \sqrt{9+16} = \sqrt{25} = 5

km.

Answer:

5 km

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