Amy walks 2 miles 60° north of east from her house as represented in the vector diagram.

On a coordinate plane, a vector has angle 60 degrees and length 2 miles.

If Amy’s house is represented as the coordinate (0, 0), what is the component form of the vector representing Amy’s destination rounded to the nearest hundredth?

⟨0.50, 0.87⟩
⟨0.87, 0.50⟩
⟨1.00, 1.73⟩
⟨1.73, 1.00⟩

Respuesta :

Answer:

C

Step-by-step explanation:

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The required coordinates of Amy's position are (1.00, 1.73).

Amys walk 2 miles 60° northeast from her house. Vector coordinates to be determined.

What is coordinate?

Coordinate is defined as the abscissa and ordinate of the x-axis and y-axis respectively.

Amy walk 2 miles on 60° northeast, from origin.

x coordinate = 2cos60
                      = 2 * 1/2
                      =  1
y coordinate = 2sin60
                     = 2*√3/2
                     =   1.73

Thus, the required coordinates of Amy's position are (1.00, 1.73).

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