A plane is heading due south with an airspeed of 211 mph. A wind from a direction of 53 degrees is blowing at 17 mph. Find the bearing of the plane. (Note that bearings are measured from north, clockwise.) Round results to appropriate number of significant digits.

  1. 👍
  2. 👎
  3. 👁
  1. Using cosine law we can find the velocity
    v =sqrt(211² +17² -2•211•17•cos53º) = 201 mph.
    Using sin law we can find the angle α
    17/sinα =201/sin53º,
    sin α = 17•sin53 º /201 = 0.0675.
    α = 3.87 º.
    180 º – 3.87 º = 176.13º

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Mathematics

    An airplane has an airspeed of 400 km and is heading due west. If it encounters wind blowing north at 120 km/h, how many degrees north from west is the resultant velocity of the plane?

  2. Physics-ASAP

    A plane has an airspeed of 200 {mph}. The pilot wishes to reach a destination 600 {mi} due east, but a wind is blowing at 50 {mph} in the direction 30 degrees north of east. a)In what direction must the pilot head the plane in

  3. Pre Calc

    A private plane is traveling due east at a rate of 150 mph. A south wind is blowing 50 mph. What is the actual velocity of the plane? What is the formula and how would you work it out?

  4. Math

    Me, again... Please help me. Thank you. Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocity of the plane and the velocity of the wind as vectors, using

  1. Calculus

    An airplane is heading due east with an airspeed of 220km/h when it encounters a wind from the south at 76km/h. What is the direction of the resultant velocity of the airplane The answer is E19.06°N but I don't know how

  2. Calculus

    The pilot of an airplane that flies with an airspeed of 800 km/h wishes to travel to a city 800 km due east. There is a 80 km/h wind FROM the northeast a) what should the plane's heading be? b) How long will the trip take?

  3. Trig/Precal

    An airplane flies on a compass heading of 90° at 310 mph. The wind affecting the plane is blowing from 332° at 40 mph. What is the true course and ground speed of the airplane?

  4. trigonometry

    A plane is headed due west with an air speed of 300 mph. The wind is from the north at 80 mph. Find the bearing for the course and the ground speed of the plane.

  1. physics

    A jetliner can fly 5.57 hours on a full load of fuel. Without any wind it flies at a speed of 2.43 x 102 m/s. The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east

  2. Math

    A plane is flying with an airspeed of 190 miles per hour and heading 140°. The wind currents are running at 25 miles per hour at 165° clockwise from due north. Use vectors to find the true course and ground speed of the plane.

  3. trigonometry math

    An aviator heads his airplane due west. He finds that because of a wind from the south, the course makes an angle of 20" with the heading. If his airspeed is 100 mi/h, what is his groundspeed and what is the speed of the wind?

  4. trigonometry

    A plane is flying 225 mph heading S25°W. The wind begins blowing S80°E at 60 mph. What is the direction of the plane's new path using compass points such as N17°W? What is the ground speed of the plane now? What is the smallest

You can view more similar questions or ask a new question.