Question

A ladder 15 feet long leans against a wall and forms an angle of 45o with the ground. How far from the wall is the ladder?

Answer 1

You mean how far is it measured at the ground level correct?
The top of the ladder is touching the wall and is 0 feet from the wall.

Answer 2

Hmm, I got the right answer but typed the explanation incorrectly.
sin 45° = ground distance / 15
sin 45° * 15 = ground distance
0.70711 * 15 = ground distance
ground distance = 10.60665 feet
think I'll delete my second response.

Answer 3

Checked that with the Pythagorean Theorem
10.60665² + 10.60665² = ladder length²
225 = ladder length²
ladder length = 15 feet