Math, asked by ashi241, 11 months ago

If i run 540m south and then 970m east wat is my final distance from the starting point

Answers

Answered by allahbakesh
0

Answer:

don't give any bady answer‽

Answered by mad210215
0

The final distance from the starting point is 1110.18017 m

Step-by-step explanation:

  • Let the starting point be A.
  • Now as shown in  the figure, AB is the distance covered if you run 540 m  towards south from the starting point of A.
  • BC is the distance covered if you run 970 m east.
  • Now, if we consider ABC as a right angled triangle,in which AB is the perpendicular,BC is the base and AC is the hypotenuse.By using Pythagoras Theorem we have,

AB^{2} +BC^{2} =AC^{2}

540^{2} +970^{2} =AC^{2}

⇒AC=\sqrt{540^{2} +970^{2} }

⇒AC=\sqrt{291600+940900

⇒AC=\sqrt{1232500}

⇒AC=1110.18017

∴The final distance from the starting point is 1110.18017 m.

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