Two geological field teams are working in a remote area. A global positioning system (GPS) tracker at their base camp shows the location of the first team as 35 km away, 20° north of west, and the second team as 29 km away, 38° east of north. When the first team uses its GPS to check the position of the second team, what does it give for the second team's
(a) distance from them and
(b) direction, measured from due east?
I did Ax = (35km) sin 20 = 11.97 & Ay (35km) cos 20 = 32.89
Bx = (29km) sin 39 = 18.25 & By (39km) cos 39 = 22.54
and plugged that in;
sqrt ( 11.97 + 18.25) ^2 + (32.89 + 22.54) ^2 = 63.13 km, but apparently this is the wrong answer and for the degrees i did the arctan (55.43/30.22)= 61.40 and this is wrong too
(a) distance from them and
(b) direction, measured from due east?
I did Ax = (35km) sin 20 = 11.97 & Ay (35km) cos 20 = 32.89
Bx = (29km) sin 39 = 18.25 & By (39km) cos 39 = 22.54
and plugged that in;
sqrt ( 11.97 + 18.25) ^2 + (32.89 + 22.54) ^2 = 63.13 km, but apparently this is the wrong answer and for the degrees i did the arctan (55.43/30.22)= 61.40 and this is wrong too