Problem

After a long wait in line for your turn to ascend above the sea inside the North Star pod, you observe your tropical destination peeking up over the horizon. The radical equation $d=1.22 \sqrt{h}$ calculates the distance to the horizon ( $d$ measured in miles) as a function of your height above sea level ( $h$ measured in feet).
How many miles away are you? Round your answer to the nearest thousandth.
The destination is miles.

Answer

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Answer

\(\boxed{\text{Final Answer: The final answer cannot be determined without the actual height above sea level. However, the given equation can be used to calculate the distance to the horizon once the height is known.}}\)

Steps

Step 1 :The problem provides a radical equation \(d=1.22 \sqrt{h}\) which calculates the distance to the horizon (\(d\) measured in miles) as a function of your height above sea level (\(h\) measured in feet).

Step 2 :However, the problem does not provide the actual height above sea level. Therefore, we cannot calculate the exact distance to the horizon.

Step 3 :Assuming that the height above sea level is given as 'h', we can substitute 'h' in the given equation to find the distance to the horizon.

Step 4 :For example, if the height above sea level is 100 feet, we can substitute \(h = 100\) into the equation to find the distance.

Step 5 :\(d = 1.22 \sqrt{100}\)

Step 6 :\(d = 12.2\) miles

Step 7 :Without the actual height, we cannot provide a specific answer.

Step 8 :\(\boxed{\text{Final Answer: The final answer cannot be determined without the actual height above sea level. However, the given equation can be used to calculate the distance to the horizon once the height is known.}}\)

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