Chapter 11.2, Problem 65SR

To determine

To Find: How far can she see from the cliff? Write in simplified radical expression and a decimal approximation.

Answer to Problem 65SR

  $d=21.56m$

Explanation of Solution

Given:

The formula $d=\sqrt{\frac{3h}{2}}$ represents the distance $d$ in miles that the person $h$ feet high can see. Irene is standing on cliff that is $310$ feet above sea level.

  

Given: $d=\sqrt{\frac{3h}{2}}$

Height at which Irene is standing on cliff is $310$ feet

Replace $h$ by $310$

We get

  $\begin{array}{l}d=\sqrt{\frac{3h}{2}}\\ d=\sqrt{\frac{3(310)}{2}}\\ d=\sqrt{\frac{930}{2}}\\ d=\sqrt{465}\\ d=21.56m\end{array}$

Hence, she can see $21.56m$ far.