In a 45-45-90 right triangle, if each leg is 5 units long, the value ofis.
Answer & Analysis
Analysis
Question Analysis
This problem tests the student's ability to apply the tangent function to a 45-45-90 special right triangle.
Key Concept Explanation
In a 45-45-90 triangle, both legs are equal. The tangent of 45 degrees is the ratio of the opposite side to the adjacent side, which is 1.
Step-by-step Solution
1. Identify the lengths of the legs in a 45-45-90 triangle: both legs are 5 units long.
2. Calculate the tangent:
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