The distance $d$ in miles that can be seen on the surface of the ocean is given by $d=1.3 \sqrt{h}$, where $h$ is the height in feet above the surface. How high (to the nearest foot) would a platform have to be to see a distance of 14.5 miles?
A) $124 \mathrm{ft}$
B) $112 \mathrm{ft}$
C) $210 \mathrm{ft}$
D) $273 \mathrm{ft}$

Question

Quizplus · Accepted Answer

To find the height $h$, we rearrange the formula to solve for $h$: $h = \left(\frac{d}{1.3}\right)^2$. Substituting $d = 14.5$ miles, we get $h = \left(\frac{14.5}{1.3}\right)^2 = 124.36$. Rounding to the nearest foot gives $124$ feet.

The Distance ddd In Miles That Can Be Seen on the Surface of the Surface

The Distance $d$ In Miles That Can Be Seen on the Surface of the Surface