# The car and the observer

Geometry Level 3

James is facing north and has a car directly in front of him at rest facing east. The car starts moving in the direction of the east. When the car covers the first $$x$$ meters, the angle of rotation of his neck is $$a$$ degrees. When the car covers the next $$x$$ meters, the neck rotates through an additional angle of $$b$$ degrees.

Which of the following is the most precise relationship between $$a$$ and $$b$$?

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