contestada

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?

Respuesta :

MrRoyal

Answer:

16.67 feet from ground

Step-by-step explanation:

Given

[tex]d= \sqrt{ 1.5h}[/tex] --- missing from the question

[tex]d \to distance[/tex]

[tex]h \to height[/tex]

Required

Determine the height when distance = 5 miles

This implies that:

[tex]d = 5[/tex]

So, we have:

[tex]d= \sqrt{ 1.5h}[/tex]

[tex]5 = \sqrt{1.5h[/tex]

Take square roots of both sides

[tex]5^2 = 1.5h[/tex]

[tex]25 = 1.5h[/tex]

Divide both sides by 1.5

[tex]\frac{25}{1.5} = h[/tex]

[tex]h = \frac{25}{1.5}[/tex]

[tex]h = 16.67[/tex]

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