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Describe the vector as an ordered pair round the coordinates to the nearest tenth. The diagram is not drawn to scale.
A.)<-58.1, 50.5>
B.)<-102, 117.4>
C.)<-117.4, 102>
D.)<-50.5, 58.1>

Describe the vector as an ordered pair round the coordinates to the nearest tenth. The diagram is not drawn to scale. A.)<-58.1, 50.5> B.)<-102, 117.4> C.)<-117 class=

Answer :

Poltergeist

Answer:

D.)<-50.5, 58.1>

Step-by-step explanation:

The vector can be decomposed into its x and y components using trigonometry.

The x and y components of the vector, together with the vector length forms a right triangle, as shown in the figure attached.

The x-component of the vector is given by

[tex]sin (-41^o)=\dfrac{x}{77}[/tex]

[tex]x=77*sin (-41^o)[/tex]

[tex]x=-50.5[/tex]

And the y-component of the vector is given by

[tex]cos(-41^o)=\dfrac{y}{77}[/tex]

[tex]y=77*cos(-41^o)[/tex]

[tex]y=58.1[/tex]

Thus, the vector as an ordered pair is represent by

[tex]\boxed{ (-50.5, 58.1)}[/tex]

which is choice D.

${teks-lihat-gambar} Poltergeist

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