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A hiker walks 4.5km in one direction then makes a 45 turn to the right and walks another 6.4km.what is the magnitude of the hikers displacement?

Respuesta :

Answer:

10 km

Explanation:

Answer:

10 Km

Explanation:

To solve this we have to find the total displacement on the X and Y axis, we will take the first direction goin to the positive Y.

[tex]d_y=4.5km+6.4km*sin(45)=9km\\d_x=6.4km*cos(45)=4.5km[/tex]

The magnitud of the displacement is given by:

[tex]d=\sqrt{d_x^2+d_y^2}\\d=\sqrt{4.5^2+9^2}=10km[/tex]

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