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Answer:
Step-by-step explanation:
"A fifteen-foot ladder leans against a wall at 52°."
Do you mean that the ladder makes a 52° angle with the wall?
x = distance between foot of ladder and base of wall
sin(52°) = x/15
x = 15sin(52°) ≅ 11.82 ft
Or, did you meant that the ladder makes a 52° angle with the ground?
cos(52°) = x/15
x = 15cos(52°) ≅ 9.23 ft