The Galactic Coordinates Challenge

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In a distant galaxy, an astronomer is charting the positions of stars using a coordinate system. A star is located at a point (8, 15) in this system. The astronomer wishes to calculate the distance of the star from the origin of the coordinate system and the angle it makes with the positive x-axis.

Use Pythagoras' theorem to find the distance of the star from the origin and basic trigonometry to calculate the angle with the x-axis. Remember, in trigonometry, the tangent of the angle is the ratio of the y-coordinate to the x-coordinate of the point.

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