Question

explain why the value of the sine ratio for an acute angle of a right triangle must always be a positive value less than 1.

Explanation:

Sine is opposite - hypotenuse ratio. In right - triangle, opposite side length < hypotenuse length for acute angle, and lengths are positive.

Answer:

The sine ratio of an acute angle in a right - triangle is positive (as side lengths are positive) and less than 1 (since opposite side < hypotenuse).