If angle 1 in the sketch below is 48 degree 1120 calculate t

If angle 1 in the sketch below is 48 degree 11\'20\", calculate the values of angle 2 and 3. In the right triangle below, solve for angle A.

Solution

6) Angle1 = 48deg11min20sec= 48 + 0.1833 + 0.0055 = 48.1883 deg

Angle2 = 90 - ( 180 - (90 + 48.1883) )

= 90 - ( 90 - 48.1883)

= 48.1883 deg

Angle3 = 90 + ( 180 - 90 - 48.1883)   

= 180 - 48.1883 =131.8117 deg

7) tanA = 993.14/3600.11 =0.2758

A = tan^-1(0.2758) = 15.42 deg