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HELP!!
You walk 130 m E and then turn and walk another 43m [E 28 degree S] what is the total displacement?

Respuesta :

lucic

Answer:

Total displacement 155 m

Explanation:

From the question, the formula to apply will be that of cosine rule where:

[tex]c=\sqrt{a^2+b^2-2ab*cosC}[/tex]

where

a= 43 m , b=130m and c =? , <C=28° + 90° =118°

Substituting values in the equation as;

[tex]c=\sqrt{43^2+130^2-2*43*130*cos118}[/tex]

[tex]c=\sqrt{1849+16900-11180*-0.46947} \\\\c=\sqrt{1849+16900+5249} \\\\c=\sqrt{23998} \\\\\\c=155m[/tex]