right triangle ABC has side lengths AB=21, BC=28 and AC=35. Find the ratio of the side opposite <C to the hypotenuse of triangle ABC. Express your ratio as a decimal.

The side opposite <C is the side AB, which has length 21. The hypotenuse of triangle ABC is the side AC, which has length 35. Therefore, the ratio of the side opposite <C to the hypotenuse of triangle ABC is 21/35=0.6 (rounded to the nearest tenth).