The Law of Sines - Page 22

Questions
  • How do you use the law of cosines or law of sines if you are given C = 105 degrees, a = 10, b = 4.5?
  • How do you use the law of cosines or law of sines if you are given a = 11, b = 14, c = 20?
  • How do you use the law of cosines or law of sines if you are given a = 55, b = 25, c = 72?
  • How do you use the law of cosines or law of sines if you are given A = 75.4, b = 52, c = 52?
  • In triangle ABC, <A=84.2°, <B=20.7°, B=17.2 how do you find side C?
  • In triangle ABC, a=6.3. B=9.4, <C=38.3° how do you find side C?
  • In triangle ABC, a=12.2, B=14.0, <A=43° how do you find <B?
  • A plane flies in a direction of 85 degrees from Chicago. It then turns and flies in the direction of 200 degress for 150 miles. It is then 195 miles from its starting point. How far did the plane fly in the direction of 85 degrees?
  • Two tracking stations, A and B, are on an east-west line 110 miles apart. A forest fire is located at F, on a bearing 42 degrees northeast of station A and 15 degrees northeast of station B. How far is the fire from station A?
  • On a ship sailing north, a woman notices that a hotel on a shore has a bearing of 20. A little while later, after having sailed 40km, she observes that the bearing of the hotel is now 100. How far is the ship from the hotel?
  • Bill determines that the angle of elevation to the top of the building measures 40 degrees, 30'. If he walks 102 ft. closer to the building, the measure of the new angle of elevation will be 50 degrees, 20'. How do you find the height of the building?
  • In triangle ABC, angle A= 65, B=70, and the side opposite vertex B is 7. How do you find the length of the side opposite vertex A, and find the area of triangle ABC?
  • How do you find the measure of angle B for the triangle with the following dimensions. A = 45° , a = 60.5 , b = 90?
  • In triangle EFD, the measure of angle D is 37.9, side d is 27 ft, side f 20ft. How do you find the measure of angle F?