Question

Tara goes on a camel safari in Africa. She travels 5 km north, then 3km east and then 1km north again. what distance did she cover? What was her displacement?

Answer 1

distance she covered....is 9 km
displacement is..
$\sqrt{ {6}^{2} + {3}^{2} } = \sqrt{36 + 9} = \sqrt{45} = 3 \sqrt{5}$
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Answer 2

Hello!

Tara goes on a camel safari in africa. she travels 5 km north, then 3km east and then 1km north again. What distance did she cover ? What was her displacement ?​

We have the following data:  

$North\:(\overline{AC}) = 5\:km + 1\:km= 6\:km$

$East\:(\overline{BC}) = 3\:km$

$displacement\:(\overline{AB}) =\:?\:(in\:km)$

Analyzing the statement, we have a rectangle triangle (ABC), we apply the data to the formula of the theorem of pythagoras, we have:

$\overline{AB}^2 = \overline{AC}^2 + \overline{BC}^2$

$\overline{AB}^2 = 6^2 + 3^2$

$\overline{AB}^2 = 36 + 9$

$\overline{AB}^2 = 45$

$\overline{AB} = \sqrt{45}$

$\boxed{\boxed{\overline{AB} \approx 6.7\:km}}\Longleftarrow(displacement)\:\:\:\:\:\:\bf\green{\checkmark}$

Answer:  

Tara covers a distance of 9 km (5 km + 3 km + 1 km) and the displacement (AB) is approximately 6.7 km

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