In a 30-60-90 right triangle, if the longer leg (opposite the 60° angle) is 15 units, then the value ofis.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of the tangent ratio 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 length of the opposite side (longer leg) to the length of the adjacent side (shorter leg).
Step-by-step Solution
1. Identify the given value: Longer leg (opposite the 60° angle) = 15 units.
2. Determine the shorter leg: Since the longer leg is , we have . Solving for , we get
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