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?
Answer
3.2
(305 Votes)
Zelda
Professional · Tutor for 6 years
Answer
The altitude at the top of Chimney Rock is approximately 1413.70 feet.
Explanation
## Step 1The problem provides a function that relates a person's visibility (v) in miles to their altitude (a) above the ground:
.## Step 2We are also given that a person at the top of Chimney Rock can see for 46 miles.## Step 3To find the altitude, we need to rearrange our function and solve for the 'a' variable.### The given equation is:
## Step 4Rearrange the equation for 'a': \(a = (\frac{v}{1.225^2})\)## Step 5Substitute the visibility distance 'v' as 46 and solve for 'a'.