Question

A 15 feet ladder leans against a wall at 52o. How far from the wall is the foot of the ladder?

Answer 1

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