Mathematics for Navigators

answer antilog azimuth angle circle circumference colog construct convenient radius cosecant cosine cosine-haversine formula cotangent decimal derive determine difference dist distance abeam dividing equal equation example exponent expressed following problems foregoing functions given angle given line great-circle distance great-circle sailing Greenwich Hour Angle haversine formula Hour Angle hypotenuse illustrated in Fig indicated interpolation knots known logarithms longitude measured meridian method minus minutes of arc multiplying Napier's rules nautical mile navigation nearest negative oblique triangle obtuse parentheses plane geometry plane triangle polar triangle pole positive prime vertical propeller protractor quadrantal triangle quantity secant second quadrant SEXAGESIMAL side opposite sine law slip solution Solve the following speed sphere spherical right triangle spherical triangle student subtract Table 31 tabulated tangent Tangent Law three angles three sides triangle ABC unknown vertex vessel