Mathematics

Mathematics

Problem

During a land survey an angle of −27.7528∘-27.7528^\circ (measured clockwise from the initial side) was obtained. (i) Express this angle in the form D∘ M′ S′′D^\circ\,M'\,S'', retaining the negative sign. (ii) Write the minutes and seconds as two-digit numbers and round the seconds to one decimal place. (iii) State whether the terminal side of the angle lies in the first, second, third or fourth quadrant.

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