Question

The maximum distance D(h) in kilometers that a person can see from a height h kilometers above the ground is given

by the function D(h) = 111.7√/h. Find the height that would allow a person to see 40 kilometers.
h=km
(Round to two decimal places as needed.)
...

Answer 1

0.13 km

Explanation:

Rearrange the formula to solve for
`h`:

`D(h)=111.7√(h)`

`(D(h))/(111.7)=√(h)`

`((D(h))/(111.7))^2=(√(h))^2`

`((D(h))/(111.7))^2=h`

Then, substitute the distance of 40 km:

`((40)/(111.7))^2=h`

`0.13\approx{h}`