A man starts from his house and goes $5 k m$ towards the north and turns right and goes $5 k m$ . Again he goes $5 k m$ to his left and turns left and goes $15 k m$ further. Now, in which direction is he from his house?

North

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North-West

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East

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North-East

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Solution

The correct option is D North-West
brake all in i,j form
east = +i
west = -i
north = +j
south = -j
now initially he moves +5j, then turns right means he faces +i and goes +5i, then again left means +5j, then turns left again this means he faces west -i and goes -15i.
adding all we get -5i+5j. which is north-west so option B is correct.

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A man starts from his house and goes 5km towards the north and turns right and goes 5km. Again he goes 5km to his left and turns left and goes 15km further. Now, in which direction is he from his house?

A man starts from his house and goes $5 k m$ towards the north and turns right and goes $5 k m$ . Again he goes $5 k m$ to his left and turns left and goes $15 k m$ further. Now, in which direction is he from his house?