Math
posted by Suz on .
To chart the movement of a polar bear, scientists attached a radio transmitter to its neck. Two tracking stations are monitoring the radio signals from the bear. Station B is 10 miles directly east of station A. On Monday, station A measured the direction to the bear at N43E,and station B at N30W. Three days later the directions to the bear from the two tracking stations were N24E and N30W,respectively. How much farther from station B was the polar bear after those three days?

Initial position of bear at C
final position of bear at D
angle CAB = 9043 = 47
angle CBA = 9030 = 60
therefore angle ACB = 1804780 = 73
sin 60/AC = sin 73/10
AC = 10 sin 60 /sin 73
do that
then
angle DAC = 4324 = 19
angle DCA = 180  73 = 18073 = 107
angle ADC = 180 19 107 = 54
so
sin 19/DC = sin 54 / AC
and we know AC