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Selected Response: 1 point for correct answer only. The function below relates a person's visibility, v in miles to their altitude, a, in feet above ground. v=1.225sqrt (a) On a clear day the visibility at the top of Chimney Rock in the Catoctin Mountains in western Maryland is 46 miles. Which is the best estimate for the all altitude at the top of Chimney Rock?

Question

Selected Response: 1 point for correct answer only.
The function below relates a person's visibility, v in miles to their altitude, a, in feet above ground.
v=1.225sqrt (a)
On a clear day the visibility at the top of Chimney Rock in the Catoctin Mountains in western Maryland is 46
miles.
Which is the best estimate for the all altitude at the top of Chimney Rock?

Selected Response: 1 point for correct answer only. The function below relates a person's visibility, v in miles to their altitude, a, in feet above ground. v=1.225sqrt (a) On a clear day the visibility at the top of Chimney Rock in the Catoctin Mountains in western Maryland is 46 miles. Which is the best estimate for the all altitude at the top of Chimney Rock?

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ZeldaProfessional · Tutor for 6 years

Answer

The altitude at the top of Chimney Rock is approximately 1413.70 feet.

Explain

## Step 1<br />The problem provides a function that relates a person's visibility (v) in miles to their altitude (a) above the ground: \(v = 1.225 \sqrt{a}\).<br />## Step 2<br />We are also given that a person at the top of Chimney Rock can see for 46 miles.<br />## Step 3<br />To find the altitude, we need to rearrange our function and solve for the 'a' variable.<br />### The given equation is: \(v = 1.225 \sqrt{a}\)<br />## Step 4<br />Rearrange the equation for 'a': \(a = (\frac{v}{1.225^2})\)<br />## Step 5<br />Substitute the visibility distance 'v' as 46 and solve for 'a'.
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