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Math·Geometry and Trigonometry·Right triangles and trigonometry

hard

In the $xy$-plane, a unit circle with center at the origin $O$ contains point $A$ with coordinates $(1,0)$ and point $B$ with coordinates $(-\frac{8}{\sqrt{89}},\frac{5}{\sqrt{89}})$. If the measure of angle $AOB$ is $w$ radians, what is the value of $\tan w$?

1

-5/8

2

-.625

3

-0.625