Answer
\[6\sqrt{3}\]miles, 10.4miles
Work Step by Step
For the height h and d as the distance, it varies as:
\[d=\sqrt{\frac{3h}{2}}\] (I)
The height of the pool deck on the cruise ship above water is 72 feet, the distance can be calculated by inputting the value of height in (I):
\[d=\sqrt{\frac{3\left( 72 \right)}{2}}\]
\[d=\sqrt{\frac{3.72}{2}}\] (II)
Now, if m and n are representing positive numbers, then,
\[\begin{align}
& \sqrt{mn}=\sqrt{m}.\sqrt{n} \\
& \sqrt{m}.\sqrt{n}=\sqrt{mn}
\end{align}\] (III)
Use (III) in (II) to get,
\[\begin{align}
& d=\sqrt{\frac{3\times 3\times 3\times 2\times 2\times 2}{2}} \\
& =\sqrt{3\times }\left( \sqrt{3}\times \sqrt{3} \right)\times \left( \sqrt{2}\times \sqrt{2} \right) \\
& =6\sqrt{3}
\end{align}\]
The distance to which a person can see is \[6\sqrt{3}\]miles.
The value \[6\sqrt{3}\]is in radical form, the input for calculating the tenth of a mile on the calculator are as follows:
Step1:
Press 6 and then press \[\times \]key.
Step2:
Press the \[{{2}^{nd}}\]key and press \[{{x}^{2}}\]key.
Step3:
Close the bracket and press ENTER key.
The distance to which a person can see to the nearest of a mile is 10.4 miles.
