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Let x be the distance between the foot of the ladder and the base of the building.
Using cosine, we have: cos(55°) = x / 16.
Multiplying both sides by 16, we get: x = 16 * cos(55°).
Evaluating cos(55°), we find: x = 16 * 0.5736.
Simplifying, we have: x ≈ 9.18.
Therefore, the distance between the foot of the ladder and the base of the building is approximately 9.18 feet.