Question

the speed that a tsunami (tidal wave) can travel is modeled by the equation $s = 356sqrt{d}$, where $s$ is the speed in kilometers per hour, and $d$ is the average depth of the water in kilometers. a tsunami is traveling at 140 km/hr. what is the approximate average depth of the water? 0.145 km 0.155 km 0.133 km

Explanation:

Step1: Substitute given speed into formula

Given $S = 356\sqrt{d}$ and $S = 140$. So, $140=356\sqrt{d}$.

Step2: Solve for $\sqrt{d}$

Divide both sides by 356: $\sqrt{d}=\frac{140}{356}\approx0.393$.

Step3: Solve for $d$

Square both sides: $d=(0.393)^2\approx 0.155$.

Answer:

$0.155$ km