The period T (in seconds) of a pendulum is given by T=2pi sqrt ((L)/(32)) where L. stands for the length (in feet)of the pendulum. If pi =3.14 and the period is 1.57 seconds, what is the length? 8 feet 2 feet 20 feet 16 feet

## Step 1: Set up the equation### Use the given formula for the period of a pendulum, , and substitute and . ## Step 2: Simplify the equation### Divide both sides by to isolate the square root term. ## Step 3: Solve for the square root### Calculate the left side of the equation. ## Step 4: Square both sides### Eliminate the square root by squaring both sides of the equation. ## Step 5: Solve for ### Multiply both sides by 32 to find .