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The length of an arc can be related to the radius of circle and the angle it makes at the center of the circle by following equation:
s = rФ
Radius is given to be = 3960 miles
We are to find the arc length in feet, so we convert the miles to feet.
1 mile = 5280 feet.
So,
Radius = 3960 x 5280 feet = 20908800 feet
Angle = 1/60 degree
The angle must be in radians before, we use its value in the equation given above.
So, 1/60 degrees in radians will be:
Now we can use this value of angle in above equation to find the arc length.
So, rounded of to nearest 10 feet, the length of one nautical mile is 6080 feet.
s = rФ
Radius is given to be = 3960 miles
We are to find the arc length in feet, so we convert the miles to feet.
1 mile = 5280 feet.
So,
Radius = 3960 x 5280 feet = 20908800 feet
Angle = 1/60 degree
The angle must be in radians before, we use its value in the equation given above.
So, 1/60 degrees in radians will be:
Now we can use this value of angle in above equation to find the arc length.
So, rounded of to nearest 10 feet, the length of one nautical mile is 6080 feet.