Question

a Pendulum 40 in long swings through an arc of 30 degrees how far is the pendulum bob form the vertical when it has moved as far left as the swing permits

Answer 1

The distance of the pendulum from the vertical is equivalent to the leg of a right triangle with opposite angle 30° and hypotenuse 40 in. In this case, the length of the leg x is given by:

$\begin{gathered} x=40\sin30\degree \\ x=40\frac{1}{2} \\ x=20\text{ in} \end{gathered}$