Q. 346 - Intermediate Algebra

Question

A construction worker dropped a hammer while building the Grand Canyon skywalk, 4000 feet above the Colorado River. Use the formula$t=\frac{\sqrt{h}}{4}$  to find how many seconds it took for the hammer to reach the river.

Step-by-Step Solution

Answer

The time took for the hammer to reach the river is 15.8 seconds.

Step 1. Given information

A construction worker dropped a hammer while building the Grand Canyon skywalk, 4000 feet above the Colorado River.

Step 2. Finding time by using the formula

$$\begin{gathered} t=\frac{\sqrt{h}}{4}=\frac{\sqrt{4000}}{4} \\ t=\frac{20\sqrt{10}}{4}=5\sqrt{10}=15.8 \end{gathered}$$