Find the distance to the horizon @ 32,000 feet.
assuming you mean on the earth, not some other planet or polyhedral body,
If d is the distance, and r is the radius of the earth (in feet),
r^2 + d^2 = (r+32000)^2
If d is the distance, and r is the radius of the earth (in feet),
r^2 + d^2 = (r+32000)^2
To find the distance to the horizon at a certain height, we can use the formula for the distance to the horizon which is given by:
Distance to Horizon (in nautical miles) = 1.2247 * sqrt(Height (in feet))
Let's calculate the distance to the horizon at a height of 32,000 feet using this formula:
Distance to Horizon = 1.2247 * sqrt(32,000)
First, let's calculate the square root of 32,000:
sqrt(32,000) = 178.8854
Now, let's calculate the distance to the horizon:
Distance to Horizon = 1.2247 * 178.8854 = 218.7153 nautical miles
Therefore, the distance to the horizon at a height of 32,000 feet is approximately 218.72 nautical miles.