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Stells [14]
3 years ago
5

A carousel has 30 cars. Determine the angle of rotation that maps #6 to car #19.

Mathematics
1 answer:
ivolga24 [154]3 years ago
7 0

Answer:  The answer is 260°.


Step-by-step explanation: Given that a Carousel has 30 cars. We need to find the angle of rotation which maps car no. 6 to car no. 19.

Now, the Carousel will make a regular polygon with 30 sides and each car as a vertex.

So, angle of symmetry for the polygon is

\theta=\dfrac{360^\circ}{30}=20^\circ.

Number of sides from car 6 to car 19 = 19 - 6 = 13.

Therefore, the angle of rotation that maps car 6 to car 19 is given by

\alpha=13\times \theta=13\times 20^\circ=260^\circ.

Thus, the required angle of rotation is 260^\circ.


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