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

Answer:

16.67 feet from ground

Step-by-step explanation:

Given

$d= \sqrt{ 1.5h}$ --- 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:

$d= \sqrt{ 1.5h}$

$5 = \sqrt{1.5h$

Take square roots of both sides

$5^2 = 1.5h$

$25 = 1.5h$

Divide both sides by 1.5

$\frac{25}{1.5} = h$

$h = \frac{25}{1.5}$

$h = 16.67$