Question

The distance in miles that you can see to the horizon is a radical function that depends on the height (in feet) that you are above the ground. If you can see a distance of 5 miles, how many feet are you from the ground?

Answer 1

16.67 feet from ground

Explanation:

Given

`d= √( 1.5h)` --- missing from the question

`d \to distance`

`h \to height`

Required

Determine the height when distance = 5 miles

This implies that:

`d = 5`

So, we have:

`d= √( 1.5h)`

`5 = \sqrt{1.5h`

Take square roots of both sides

`5^2 = 1.5h`

`25 = 1.5h`

Divide both sides by 1.5

`(25)/(1.5) = h`

`h = (25)/(1.5)`

`h = 16.67`