Mathematics

Problem

Two angles are given as follows: Angle

A = 38^{\circ}\;45'\;56''

and Angle

B = -12.875^{\circ}

. Answer the following questions. a. (i) Convert Angle

B

to degrees–minutes–seconds (DMS) correct to the nearest second. b. (ii) Add Angle

A

and Angle

B

and express the result in DMS. c. (iii) Convert the result obtained in part (ii) to decimal degrees, correct to four decimal places.