Question

A six foot fence falls over to where its highest point is now only 5 feet high off the ground., how many radians did the fence tilt?

Answer 1

0.5857 radian

Explanation:

Given :

Length of fence = 6 feets

Height of fence from ground after tilt = 5 feets

The tilt angle is represented by θ ;

To obtain the angle ; we use the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos θ = 5 / 6

θ = Cos^-1(5/6)

θ = 33.557°

Converting to radian :

33.557 * π/180

= 33.557 * 0.0174532

= 0.58568

= 0.5857 radian