Question

Explain why the value of the sine ratio for an acute agle of a right triangle must be less than 1

Answer 1

Explanation:

The sine is the ratio of the opposite side to the hypotenuse. When the ange is acute (< 90°), the hypotenuse is longer than the opposite side of the right triangle, so the ratio of that side length to the hypotenuse must be less than 1.

Answer 2

Sample Response: The sine ratio is the length of the side opposite a given acute angle divided by the length of the hypotenuse. Because the hypotenuse is the side opposite the largest angle, the 90° angle, it has to be the longest side. Thus, the ratio will have a denominator that is larger than the numerator, and the ratio will be less than 1.

This also means the other person is technically correct

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