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March 26, 2017

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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?

  • Math - ,

    Initial position of bear at C
    final position of bear at D
    angle CAB = 90-43 = 47
    angle CBA = 90-30 = 60
    therefore angle ACB = 180-47-80 = 73
    sin 60/AC = sin 73/10
    AC = 10 sin 60 /sin 73
    do that
    then
    angle DAC = 43-24 = 19
    angle DCA = 180 - 73 = 180-73 = 107
    angle ADC = 180 -19 -107 = 54
    so
    sin 19/DC = sin 54 / AC
    and we know AC

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