Posted by Lolo on Tuesday, January 17, 2012 at 9:38am.
A ladder, 6m long rests against a wall. The foot of the ladder is 2.5m away from the base of the wall. The ladder has a 'safe angle' with the ground between 60(degrees) and 70(degrees). what are the safe limits for the distance of the foot of the ladder to the wall.

Maths  Steve, Tuesday, January 17, 2012 at 3:18pm
If the base of the ladder is at distance b from the wall, and the ladder makes an angle θ with the ground,
b/6 = cosθ
sec 60° = .5
sec 70° = .34
so 6*2 = 3
6*.34 = 2.04
so, the base may safely be between 2 and 3 feet from the wall.
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