Two directions are recorded as and

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Two directions are recorded as 12mo 17′ 30.5′′12^{ m o}\,17'\,30.5'' and −5mo 42′ 15.2′′-5^{ m o}\,42'\,15.2''. (i) Express 12mo 17′ 30.5′′12^{ m o}\,17'\,30.5'' in decimal degrees, correct to 0.01o0.01^{\rm o}. (ii) Express −5o 42′ 15.2′′-5^{\rm o}\,42'\,15.2'' in decimal degrees, correct to 0.01o0.01^{\rm o}. (iii) Hence determine the total angular separation between the two directions in decimal degrees, correct to 0.01o0.01^{\rm o}.

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