In a right triangle, the side opposite angle θ is 8 and the adjacent side is 15. Find tan(θ).

For a right triangle, tangent compares the length of the side opposite the angle to the length of the side adjacent to the angle.

Use the tangent ratio:
tan(θ) = opposite / adjacent

The opposite side is 8 and the adjacent side is 15, so:
tan(θ) = 8 / 15

The fraction is already in simplest form.

Therefore, tan(θ) = 8/15.