The _____ of an angle is the ratio of the opposite leg length to the hypotenuse length.A.tangentB.sineC.cosineSUBMITarrow_backPREVIOUS

Understanding the Question

The question asks for the term that defines a specific ratio involving the sides of a right triangle. Specifically, it inquires about the ratio of the length of the opposite leg to the length of the hypotenuse.

Identifying the Correct Answer

1. Tangent: The tangent of an angle in a right triangle is defined as the ratio of the opposite leg length to the adjacent leg length. Not the hypotenuse.
2. Sine: The sine of an angle is defined as the ratio of the opposite leg length to the hypotenuse length. This matches the description given in the question.
3. Cosine: The cosine of an angle is defined as the ratio of the adjacent leg length to the hypotenuse length. This also does not match the given ratio.

Conclusion

Based on the definitions of these trigonometric functions, the correct answer is:

Final Answer

B. sine