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In a blinding blizzard, a reindeer trudges 310.0 m 55° east of south across the tundra. How far south does the reindeer move? How far east does the reindeer move?

Please show work.

Sagot :

The characteristic of the displacement is a vector allows to find the results for the components of the displacement are;

  • It moves to the south  distance  is: y = 177.8 m
  • It moved to the east  distance is: x = 253.9 m

The displacement is a vector quantity, therefore it has modulus and direction, see attached for a diagram.

The reference system the West - East axis coincides with the x axis and the South - North axis with the y axis.

 

Let's use trigonometry to find its components.

          cos 55 = [tex]\frac{y}{d}[/tex]  

          sin 55 =  [tex]\frac{x}{d}[/tex]  

          y = d cos 55

          x = d sin 55

let's calculate

         y = 310 cos 55

         x = 310 sin 55

         y = 177.8 m

          x = 253.9 m

In conclusion using the characteristics of the displacement is a vector we can find the components of the displacement are;

  • It moves to the south  distance is y = 177.8 m
  • It moved to the east  distance is x = 253.9 m

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