Question

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

Answer 1

Option A ( -3/2 ,
`(-3√(3) )/(2)` )

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

`√(3)`/2 = -Y / 3 Thus Y = -
`√(3)` * 3 /2