Trigonometry

A plane leaves airport A and travels 560 miles to airport B at a bearing of N32E. The plane leaves airport B and travels to airport C 320 miles away at a bearing of S72E. Find the distance from airport A to airport C.

  1. 👍
  2. 👎
  3. 👁
  1. Once you make your diagram, it is easy to see that we can use the cosine law.

    AC^2 = 560^2 + 320^2 - 2(320)(560)cos104°
    = 502704.8074
    AC = appr 709 miles

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    An aeroplane flies due north from Ikeja Airport for 500km. It then flies on a bearing of 060 degrees for a further distance of 300km before overflying a road junction.Calculate a. The distance of the aeroplne from Ikeja Airport

  2. Trigonometry

    A plane is 160 miles north and 85 miles east of an airport. If the pilot wants to fly directly to the airport, what bearing would be taken?

  3. maths

    Two planes leave an airport flying at the same rate.If the first plane flies 1.5 hours longer than the second plane and travels 2700 miles while the second plane travels only 2025 miles, for how long was each plane flying?

  4. math

    An airplane is 120 miles north and 85 miles east of an airport. Find the bearing from the airplane to the airport (round to 1 decimal place)?

  1. Maths

    An Aeroplane X Whose Average Speed Is 500km/h Leaves Kano Airport At 7:00am And Travels For 2 Hours On A Bearing 050 Degree. It Then Changes Course And Flies On A Bearing 120 Degree To An Airstrip A. Another Aeroplane Y Leaves

  2. Math

    Plane A leaves the airport. One hour later, Plane B leaves the same airport on the same course. It catches up to Plane A in 2.5 hours. The average speed of Plane B is 300km/h faster than Plane A. Find the speed of each plane.

  3. Mathematics

    An aeroplane leaves an airport A and flies on a bearing 035°for 1.5 hours at 600km/hr to airport B It then flies on a bearing 130° for 1.5hours at 400km per hour to an airport C calculate the distance from C to A and the bearing

  4. Pre Cal

    An airplane leaves an airport and flies due west 150 miles and then 230 miles in the direction S 39.67 degrees W. How far is the plane from the airport at this time to the nearest mile.

  1. Trigonometry

    A plane leaves airport A and travels 540 miles to airport B on a bearing of N34^E. The plane later leaves airport B and travels to airport C 390 miles away on a bearing of S74^E . Find the distance from airport A to airport C to

  2. trig

    A plane is flying at an elevation of 30000 feet. It is within sight of the airport and the pilot finds that the angle of depression to the airport is 18. Find the distance between the plane and the airport. Find the distance

  3. Trig

    A plane is 48 miles west and 49 miles north of an airport. The pilot wants to fly directly to the airport. What bearing should the pilot take? In degrees and minutes

  4. Pre-Calculus-Trig

    A pilot in a plane at an altitude of 22,000 feet observes that the angle of depression to a nearby airport is 26 degrees. How many miles is the airport from a point on the ground directly below the plane?

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