So firstly, you're gonna replace the T variable with 2.2, which is the time given to us. And so the equation is gonna look like this: [tex]2.2=2*3.14* \sqrt{ \frac{L}{32} } [/tex] and we will be solving for L.
The next thing you wanna do multiply 2 and 3.14 together, so your equation should look like this: [tex]2.2=6.28* \sqrt{ \frac{L}{32} } [/tex]
After that, you're gonna want to square all the terms in this equation (2.2, 6.28, and [tex] \sqrt{ \frac{L}{32} } [/tex] ) to remove the square root. Your equation will look like this [tex]4.84=39.4384* \frac{L}{32} [/tex]
Next up is you're gonna multiply 32, the reciprocal of 1/32, on each side so that the equation looks like this [tex]154.88=39.4384*L[/tex]
After, you're gonna divide 39.4384 on each side, and your equation should end up at [tex]3.927=L[/tex] . And assuming from your options, they are gonna want you to round to the nearest whole number, so the best option is 4 feet.
