In a 30-60-90 right triangle, if the shorter leg is 7 units long, the value ofis.
Answer & Analysis
Analysis
Question Analysis
This problem evaluates the student's understanding of the tangent function in a 30-60-90 special right triangle.
Key Concept Explanation
In a 30-60-90 triangle, the shorter leg is , the longer leg is , and the hypotenuse is . The tangent of 30 degrees is the ratio of the opposite side (shorter leg) to the adjacent side (longer leg).
Step-by-step Solution
1. Identify the lengths of the sides in a 30-60-90 triangle: shorter leg = 7, longer leg = .
2. Calculate the tangent:
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