Problema Solution
the bottom of the ladder is horizontal to the ground
the top of the ladder is leaning against the vertical wall
the bottom of the ladder is d metres from the wall
the top of the ladder is h metres above the ground
the angle between the ladder and the ground is x
work out x when h=4d
Answer provided by our tutors
The ladder, the wall and the ground make up a right triangle.
tan(x) = h/d
Plug h = 4d
tan(x) = 4d/d
tan(x) = 4
x = 75.96 degrees
The angle between the ladder and the ground is 75.96 degrees.