geometry

posted by .

On a map, Town A is 8 km due south of Town B, Town C is 9 km from Town A, and Town C is 3 km from Town B (see figure below). Find the bearing from Town A to Town C and the bearing from Town B to Town C.

  • geometry -

    Hello, there is no figure but I shall try my best to figure it out.

    I think this is probably a triangle.

    B
    | C
    | /
    | /
    A

    AB= 8
    AC=9
    BC=3


    A is 9 km SW of C and B is 3 km NW of C. I hope this helps.

  • geometry -

    Thank you a ton!!

  • geometry -

    No problem!

  • geometry -

    To find the actual bearings, find the angles A,B,C, using the law of cosines. For example,

    BC2 = AB2 + AC2 - 2*AB*AC*cosA

    9 = 64 + 81 - 144cosA
    cosA = 136/144
    A = 19ยบ

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    At the first tri-city meeting there are 8 people from town A, 7 people from town b and 5 people from town c. If a council consisting of 5 people is randomly selected, find the probability that 3 are from town A and 2 from town b. I …
  2. math

    One day we decided to drive from Town A to Town D. In order to get there we had to drive through Town B and then Town C. It is 10 miles farther from Town A to Town B than it is from Town B to C. IT is 10 miles farther from Town B to …
  3. percentage

    Karen took 1h 45m to drive from town a to town b.she took another 25m to drive town b to town c.after that,she drove back to town a.the journey from town a to town c and then back to town a took 3h 35m. find the percentage of the time …
  4. Maths

    Karen took 1hour 45mins to drive from Town A to Town B. She took another 25 mins drive from Town B to Town C. After that, she drove back to Town A. The journey from Town A to Town C and then back to Town A took 3h and 3mins. Find the …
  5. Math

    A motorist took a total of 4hr to drive from town A to town C. He took 1hr to travel from town A to town B,which is between town A & town C. The distance between town B & town C is 11/15 of the distance between town A and town C. If …
  6. Math

    One day we decided to dive from town A to town B. In order to get there we had to drive through town B and then town C. it is 10 miles farther from town A to town B then it is to town B to C. It is 10 miles farther from town B to town …
  7. Math

    One day we decidid to drive from town A to town D.In order to get there,we had to drive through town B and C.It is ten miles farther from town A to town B than it is from town B to town C.It is ten miles farther from town B to town …
  8. math

    Town P is on bearing 315 degree from town Q. While town R is south of town P and west of town Q. If town R is 60km away from Q, how fara is R from P?
  9. math

    a map is drawn using the scale 2 cm: 100 mi. on the map ,town b is 3.5 centimeters from town a, and town c is 2 centimeters past town b. how many miles apart are town a and town c
  10. Math

    An aeroplane travelling from town A to town C travels 9km due west to Town B and then 12km due south to town C. Sketch a diagram to represent the movement of the diagram from Town A to Town C Calculate the distance between Town A and …

More Similar Questions