Algebra-2

Question Analysis
This problem assesses the student's ability to apply the tangent function to a real-world scenario involving a right triangle.

Key Concept Explanation
The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side. In this context, the opposite side is the height the ladder reaches up the wall, and the adjacent side is the distance from the base of the ladder to the wall.

Step-by-step Solution
1. Identify the lengths of the sides: opposite side (height) = 12 feet, adjacent side (base) = 5 feet.
2. Calculate the tangent:

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