Math

posted by .

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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MATH.

    Radio station KMA is increasing its radio listening radius from 40 miles to 50 miles. How many additional square miles of listening area, to the nearest tenth, will the radio station gain?
  2. 10th grade Math

    A radio station's signal has a radius of 100 miles. If you drive at a constant speed of 40 miles an hour, nonstop, directly across the diameter of the signal, how long can you listen to the station before the signal fades?
  3. Chemistry

    Suppose you are standing 201 m from a radio transmitter. What is your distance from the transmitter in terms of the number of wavelengths for the following conditions?
  4. Physics

    The waves from a radio station can reach a home receiver by two paths. One is a straight-line path from transmitter to home, a distance of 21.0 km. The second path is by reflection from the ionosphere (a layer of ionized air molecules …
  5. math

    The transmitter site of radio station WGGW and the transmitter site of another radio station, WGWB, are on the same highway 100 miles apart. The radio signal from the transmitter site of WGWB can be received only within a radius of …
  6. math

    A radio station's signal has a radius of 100 miles. If you drive at a constant speed of 40 miles an hour, nonstop, directly across the diameter of the signal, how long can you listen to the station before the signal fades?
  7. precalculus

    Gloria is planning to ride her bicycle near the transmitter of a radio station. She will be riding from a point 10 miles due east of the transmitter on a straight road to a point 40 miles west and 10 miles north of the transmitter. …
  8. Physics 2

    1.) The microwave protion of the spectrum has wavelengths ranging from 1 mm to 1 m. find the corresponding frequency?
  9. Trig

    Two tracking stations are on the equator 161 miles apart. A weather balloon is located on a bearing of N 32°E from the western station and on a bearing of N 16°E from the eastern station. How far is the balloon from the western station?
  10. physics

    A radio station, broadcasting at 89.1 MHz on the FM dial, has two transmission towers d = 40.0 m away from each other, producing signals that are completely in phase. An avid fan of this station is listening to it on her portable radio …

More Similar Questions