A construction worker dropped a hammer while building the Grand Canyon skywalk, 8100 feetabove the Colorado River. Use the formula t=(square root of h)/4 to find how many seconds it took for thehammer to reach the river.

Respuesta :

Given:

[tex]t=\frac{\sqrt[]{h}}{4}[/tex]

To find the time when the height h=8100 feet:

Substitute h=8100 in the given function.

[tex]\begin{gathered} t=\frac{\sqrt[]{8100}}{4} \\ t=\frac{90}{4} \\ t=22.5\text{ seconds} \end{gathered}[/tex]

Thus, the time required for the hammer to reach the river is 22.5 seconds.