I just saw related questions so I figured it out.
(28.7/53.56)(sin 106) = 0.515
sin-1 0.515= 31.00deg
31.00deg -19deg = 12.00 deg
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 38 km away, 19deg north of west, and the second team as 28.7 km away, 35deg east of north. When the first team uses its GPS to check the position of the second team, what does the GPS give for the second team's distance from them?
my answer is 53.6km, i now need to find the direction in degrees measured from due east
2 answers
Law of cosines:
c^2=28.7^2+38^2 - 2(28.7*38)cosAngle
and the angle is 71+35
so that give you the magnitude.
Now, the direction. Law of sines
SinTheta/28.7=sinAngle/magnitude
and the direction is Theta-71
draw all this out on a sketch and verify.
c^2=28.7^2+38^2 - 2(28.7*38)cosAngle
and the angle is 71+35
so that give you the magnitude.
Now, the direction. Law of sines
SinTheta/28.7=sinAngle/magnitude
and the direction is Theta-71
draw all this out on a sketch and verify.