Short Answer

Nautical Miles A nautical mile equals the length of arc subtended by a central angle of 1 minute on a great circle† on the surface of Earth. See the figure. If the radius of Earth is taken as 3960 miles, express 1 nautical mile in terms of ordinary, or statute, miles.

The length of the arc is 1.15 mi

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

The problem asks to find the length of the arc $s,$ if the radius of the earth is taken as 3960 miles, expressing 1 nautical mile in terms of ordinary, or statue, miles. Hence,

1 nautical mile $=$ the length of the arc, subtended by a central angle, $θ$ of 1 minute on a great circle on the surface of the earth.

Step 2. Finding the length of the arc

Using formula $s = r θ$

$s = 3960 m i (1') s = 3960 m i (1' \frac{1^{ο}}{60'} \frac{π}{180^{\circ}}) s = \frac{11 π}{30} = 1.15 m i$

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Short Answer

Nautical Miles A nautical mile equals the length of arc subtended by a central angle of 1 minute on a great circle† on the surface of Earth. See the figure. If the radius of Earth is taken as 3960 miles, express 1 nautical mile in terms of ordinary, or statute, miles.

Step by Step Solution

Step 1. Given Information

Step 2. Finding the length of the arc

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Precalculus Enhanced with Graphing Utilities

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Short Answer

Nautical Miles A nautical mile equals the length of arc subtended by a central angle of 1 minute on a great circle† on the surface of Earth. See the figure. If the radius of Earth is taken as 3960 miles, express 1 nautical mile in terms of ordinary, or statute, miles.

Step by Step Solution

Step 1. Given Information

Step 2. Finding the length of the arc

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