Ask questions and get helpful responses.
Ask a New Question
  1. Questions

College Physics

An airplane flies 200 km due west from city A to city B and then 240 km in the direction of 31.0° north of west from city B to city C.

(a) In straight-line distance, how far is city C from city A?

(b) Relative to city A, in what direction is city C?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
Jane

  1. Law of cosines
    b^2 = a^2+c^2-2ac cos B
    b^2 = 240^2 + 200^2 -2(240)(200)cos(180-31)

    solve for b which is distance from A to C

    then law of sines
    sin A/240 = sin(180-31)/b
    solve for angle A

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Damon

  2. As a sailboat sails 59.0 m due north, a breeze exerts a constant force 1 on the boat's sails. This force is directed at an angle west of due north. A force 2 of the same magnitude directed due north would do the same amount of work on the sailboat over a distance of just 36.0 m. What is the angle between the direction of the force 1 and due north?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Anonymous

  4. because it says the two forces do the same amount of work, you can tell that the two distances given are the hypotenuse and leg of a right triangle. after that it's just a matter of taking the inverse cos of adjacent/hypotenuse

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Cory

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    An airplane flies 200 km due west from city A to city B and then 260 km in the direction of 32.0° north of west from city B to city C. (a) In straight-line distance, how far is city C from city A? ?km (b) Relative to city A, in

  2. Pysics

    An airplane flies 400 km west from city A to city B, then 200km northwest to city c and finally 100 km north to city D. How far it is from city a to d?

  3. physics

    An airplane flies 200km due west from city A to city B and then 305km in the direction of 33.5 degrees north of west from city B to city C. a.) in straight-line distance, how far is city C from city A? b.) relative to city A,in

  4. trig

    City A is 300km due east of city B. City C is 200km on a bearing of 123¤ from city B. How far is it from C to A?

  1. physics

    Three cities X,Y, and Z are connected by straight highways. City X is 6 km from city Y, city Y is 4 km from city Z, and city X is 5 km from city Z. Find the angle made by the highways XY and YZ?

  2. Algebra II

    An airplane leaves airport A and flies 200 km. At this time its bearing from Airport B, 250 km to the west, is 120 degrees. How far is the airplane from B?

  3. math

    An airplane is flying from Montreal to Vancouver. The wind is blowing from the west at 60km/hour. The airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. A) what heading should the

  4. Math

    Wilma drove at an average speed of 35 mi/h from her home in City A to visit her sister in City B. She stayed in City B 15 hours, and on the trip back averaged 40 mi/h. She returned home 41 hours after leaving. How many miles is

  1. math

    At 8 A.M., Dylan and his neighbor, Mickey, drove in their cars to a city that was 240 miles away from their neighborhood. When Dylan reached the city, Mickey had 40 miles to go. He finally completed the trip 48 minutes later. (a)

  2. physics

    city b is north of city a and the 400 mile trip by care takes 8 the cities are 320 miles apart in a straight line what is the velocity of a trip from city a to city b

  3. Physics

    A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to

  4. math

    an airplane flew from a city x on a bearing 225 to another city y a distance 200 km away.It then flew from city y on a bearing of N30 W to city Z a distance of 250 km. calculate 1.the distance from city x to city z correct to the

Still need help? You can ask a new question.