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15
A spinner on a board game has a radius of 3 inches and spins on a circular region as shown in the
figure.
3 in
The center of the circular region is the origin and the spinner's initial position is on the positive
x-axis. Rachel flicks the spinner, causing it to rotate 600°. What are the coordinates of the tip of
the spinner when it stops?
3
313
А
2
2
313
3
B
2
2
V3
с
1
2'
2.
V3
1
D
)
2
2

15 A spinner on a board game has a radius of 3 inches and spins on a circular region as shown in the figure 3 in The center of the circular region is the origin class=

Respuesta :

Answer:

Option A ( -3/2 , [tex]\frac{-3\sqrt{3} }{2}[/tex] )

Step-by-step explanation:

  • According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .
  • Now We Are on ( -X axis ) & Completed 360*+180*=540* Rotation
  • Now After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)  

(For Diagram, Please Find in attachment)

Now In Triangle OAB

  • Cos60* = OA / OB

        1/2 = -X / 3 Thus X= -3/2

  • Sin60* = AB / OB

        [tex]\sqrt{3}[/tex]/2 = -Y / 3 Thus Y = -[tex]\sqrt{3}[/tex] * 3 /2

Ver imagen virtuematane

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