MATH 112

posted by .

two planes leave an airport at the same time. Their speeds are 320 miles per hour and 380 miles per hour. If the angle between their courses is 112 degrees, how far apart are they after two hours? (The hint is using the law of cosines)

  • MATH 112 -

    after 2 hours, they have traveled 640 and 760 miles. At that point, the distance d between them is

    d^2 = 640^2 + 760^2 - 2(640)(760) cos 112°
    d = 1163 mi

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    two airplanes left the same airport traveling in opposite direction. if one airplane averages 400 miles per hour and the other airplane averages 250 miles per hour, in how many hours will the distance between the two planes be 1625 …
  2. math

    Two helicopters leave Springfield, IL at the same time. One travles north at 27 miles per hour and the other travels west at 120 miles per hour. How far apart are they after 3 hrs?
  3. Algebra

    Two trains leave Raleigh at the same time, one traveling north, the other south. The first train travels at 50 miles per hour and second at 60 miles per hour. In how many hours will the trains be 275 miles apart?
  4. 10th grade

    Two ships leave a harbor at the same time, traveling on courses that have an angle of 140 degrees between them. If the first ship travels at 26 miles per hour and the second ship travels at 34 miles per hour, how far apart are the …
  5. geometry

    Two ships leave a harbor at the same time, traveling on courses that have an angle of 140 degrees between them. If the first ship travels at 26 miles per hour and the second ship travels at 34 miles per hour, how far apart are the …
  6. maths

    Two planes take off from the same airport at the same time. One plane travels on a bearing S 12degreeW at 400 miles per hour. The other plane travels on a bearing N 75degreeE at 300 miles per hour. How far are the planes from each …
  7. trig

    Two Airplanes leave an airport at the same time on different runways. One flies on a bearing of N66degreesW at 325 miles per hour. The other airplane flies on a bearing öf S26degreesW at 300 miles per hour. How far apart will the …
  8. Trigonometry

    Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 10 miles per hour, while the second is traveling at a constant 22 miles per hour. If the angle between their courses is 100°, how far apart …
  9. Trigonometry- Help!

    After one hour in flight, an airplane is located 200 miles north and 300 miles west of the airport. What is the magnitude of the plane's velocity?
  10. Algebra

    two ships leave the same port at the same time. One travels north at 12 miles per hour. The other travel west at 5 miles per hour. After four hours, how far apart are the two ships?

More Similar Questions