Ram goes to 5 metre towards west from a certain point- Then after turning to his right he again goes the same distance- In the end he goes 25 -2 m towards south-east of east- How far is he from his starting point-A- 20 kmB- 15 mC- 10 kmD- 20 -2 mE- None of the above

The correct option is D 20 √(2) m BO = √(5^2+5^2)=√(25+25) =√(50)=5√(2)m ∴ OC = 25 √(2) 5√(2)=20√(2)m ...

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Byju's Answer

Standard VI

Mathematics

Area of Square

Ram goes to 5...

Question

Ram goes to 5 metre towards west from a certain point. Then after turning to his right he again goes the same distance. In the end he goes $25 \sqrt{2}$ m towards south-east of east. How far is he from his starting point?

20 km

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20 \sqrt{2}

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10 km

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15 m

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None of the above

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Solution

The correct option is B $20 \sqrt{2}$ m

$B O = \sqrt{5^{2} + 5^{2}} = \sqrt{25 + 25}$
$= \sqrt{50} = 5 \sqrt{2} m$
$∴ O C = 25 \sqrt{2} - 5 \sqrt{2} = 20 \sqrt{2} m$

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Ram goes to 5 metre towards west from a certain point. Then after turning to his right he again goes the same distance. In the end he goes 25√2 m towards south-east of east. How far is he from his starting point?

The correct option is B 20√2 m BO=√52+52=√25+25 =√50=5√2m ∴OC=25√2−5√2=20√2m

Ram goes to 5 metre towards west from a certain point. Then after turning to his right he again goes the same distance. In the end he goes $25 \sqrt{2}$ m towards south-east of east. How far is he from his starting point?

The correct option is B $20 \sqrt{2}$ m

$B O = \sqrt{5^{2} + 5^{2}} = \sqrt{25 + 25}$
$= \sqrt{50} = 5 \sqrt{2} m$
$∴ O C = 25 \sqrt{2} - 5 \sqrt{2} = 20 \sqrt{2} m$