In a right triangle, if the length of the hypotenuse is 5 units and the sine of one of its angles is, then the length of the opposite side isunits.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of the sine function in a right triangle and the ability to use the sine ratio to find the length of the opposite side.
Key Concept Explanation
The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. Mathematically, this is expressed as:
Step-by-step Solution
1. Given: The hypotenuse is 5 units and the sine of the angle is .
2. Use the sine ratio:
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