a. What angle of rotation maps P onto P’? b. What are the x- and y-coordinates of P’ to the nearest thousandth? c. What translation rule maps P onto P’?

Question

You can model a star’s “rotation” in the coordinate plane. Place the North Star at the origin. Let P(1, 0) be the position of the star at the moment the camera’s shutter opens. Suppose the shutter is left open for 2 h 40 min, with the arc ending at P’.

I just want the answer and the work for the questions, like how did you get the answers

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Answer 1

This would only a guesstimaton since the exact location of P' is not given.

It appears to be at (5/6, 2/3) so tan θ = (2/3) / (5/6).

tan θ = (2/3) / (5/6)

tan θ = 4 / 5

tan θ = 0.8

θ = 0.6474^r