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12 feet.
Use Pythagoras' theorem: 152-92 = 144 and the square root of 144 is 12 Answer: 12 feet
115
If the angle between the ladder and the ground is 60 deg, and you know the angle between the ground and the wall is 90 deg, then you have a 30-60-90 degree triangle, which is a common triangle. You should memorize this one. The commonest sides of this right triangle are 4-5-6, with the longest side being the hypoteneuse, in this case the ladder leaning from the ground to the wall. The wall is 4m high, the base of the ladder would be 5m out from the wall, and the length of the ladder is 6m.
Oh honey, we've got ourselves a classic right triangle situation here. Using some good ol' trigonometry, you can find that the angle between the ladder and the ground is approximately 83 degrees. Just remember, math may not be your friend, but it's definitely not your enemy either.