A car travels $$6$$ km towards north at an angle of $$45o$$ to the east and then travels distance of $$4$$ km towards north at an angle of $$135o$$ to the east. How far is the point from thestarting point? What angle does the straight line joining its initial and final position makes with the east?

Question

Infinity Learn · Accepted Answer

Net movement along $$x-directionSx=(6$$−$$4)$$$$cos$$⁡$$45$$∘$$i^=2$$×$$12=2kmNet$$ movement along $$y-directionSy=(6+4)$$$$sin$$⁡$$45$$∘$$j^=10$$×$$12=52kmNet$$ movement from starting point|S→|$$=Sx2+Sy2=(2)2+(52)2=52kmAngle$$ which makes with the east directiontan⁡θ$$=y$$ $$-component$$ x $$-component$$ $$=522$$∴θ$$=$$$$tan$$−$$1$$⁡(5)

A car travels 6 km towards north at an angle of 45^o to the east and then travels distance of 4 km towards north at an angle of 135^o to the east. How far is the point from the
starting point? What angle does the straight line joining its initial and final position makes with the east?

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A car travels 6 km towards north at an angle of 45o to the east and then travels distance of 4 km towards north at an angle of 135o to the east. How far is the point from thestarting point? What angle does the straight line joining its initial and final position makes with the east?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A car travels 6 km towards north at an angle of 45^o to the east and then travels distance of 4 km towards north at an angle of 135^o to the east. How far is the point from the
starting point? What angle does the straight line joining its initial and final position makes with the east?