Sonu starts from his home towards the South. After walking for 60 m, he turns right and goes for 40m. He turns right again and walks for 80 m before turning left. He then walks for 30m and reaches his school. How far is his school from his home and in which direction?

10 \sqrt{43} m

, North East

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10 \sqrt{13} m

, North West

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10 \sqrt{53} m

, North West

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Insufficient data

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None of the above

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Solution

The correct option is C $10 \sqrt{53} m$ , North West

Required distance =AF
$= \sqrt{(A G)^{2} + (G F)^{2}} = \sqrt{(20)^{2} + (70)^{2}} = \sqrt{400 + 4900} = \sqrt{5300} = \sqrt{53 \times 100} = 10 \sqrt{53} m$
Direction $\Rightarrow$ North-West

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Sonu starts from his home towards the South. After walking for 60 m, he turns right and goes for 40m. He turns right again and walks for 80 m before turning left. He then walks for 30m and reaches his school. How far is his school from his home and in which direction?

The correct option is C 10√53m, North West Required distance =AF =√(AG)2+(GF)2=√(20)2+(70)2=√400+4900=√5300=√53×100=10√53m Direction ⇒ North-West

The correct option is C $10 \sqrt{53} m$ , North West

Required distance =AF
$= \sqrt{(A G)^{2} + (G F)^{2}} = \sqrt{(20)^{2} + (70)^{2}} = \sqrt{400 + 4900} = \sqrt{5300} = \sqrt{53 \times 100} = 10 \sqrt{53} m$
Direction $\Rightarrow$ North-West