In a 30-60-90 right triangle, if the shorter leg (opposite the 30° angle) is 6 units, the value ofis.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of the tangent function in a 30-60-90 triangle.
Key Concept Explanation
In a 30-60-90 triangle, the sides are in the ratio . The tangent of 60 degrees is the ratio of the longer leg to the shorter leg.
Step-by-step Solution
1. Identify the sides of the 30-60-90 triangle: shorter leg = 6 units, longer leg = units, hypotenuse = 12 units.
2. Calculate :
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