How far from a wall is a 20 m long ladder, leading against wall forming a 60° angle with it?
How far from a wall is a 20 m long ladder, leading against wall forming a 60° angle with it?
Explanation
To find the distance of the ladder from the wall, we can use trigonometry.
Let's denote the distance from the wall as 'x'. Since the ladder forms a 60° angle with the wall, we can use the cosine function:
cos(60°) = x / 20
We know that cos(60°) = 0.5, so:
0.5 = x / 20
x = 20 × 0.5
x = 10 m