In a right triangle, the side opposite angle θ is 6 and the hypotenuse is 10. Find sin(θ).

For a right triangle, sine compares the length of the side opposite the angle to the length of the hypotenuse.

Use the sine ratio:
sin(θ) = opposite / hypotenuse

The opposite side is 6 and the hypotenuse is 10, so:
sin(θ) = 6 / 10

Simplify the fraction by dividing the numerator and denominator by 2:
sin(θ) = 3 / 5

Therefore, sin(θ) = 3/5.