Post a New Question

geometry

posted by .

A cross country race course on flat ground has runners heading from point A for 3.5 km on a bearing of 047degT to point B. From point B they turn and run for 2.8 km on a bearing of 342degT to point C. They then run back to point A.

Determine the Distance from C back to A.

  • geometry -

    they run on a heading, not a bearing.

    Starting at (0,0)
    3.5 at 47° = (2.56,2.39)
    2.8 at 342° = (-0.87,2.66)

    Add them together to see that C is at (1.49,5.05)

    CA = √(1.49^2+5.05^2) = 5.27

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Mathematics

    A pilot flies a plane that averages approximately 210 km/hr. The plane leaves point A at a bearing of 40 degrees and flies two hours to point B. After a brief stop the plane leaves point B at a bearing of 125 degrees and flies for …
  2. Math

    Point B is 10 KM north of Point A and Point C is 10 Km from B on a bearing of 060 from b. Find the bearing and distance of C from A 
  3. Math

    Point B is 10 KM north of Point A and Point C is 10 Km from B on a bearing of 060 from b. Find the bearing and distance of C from A 
  4. Trigonometry

    Calculate the area: From a point A, proceed east for 300 m to Point B. Then travel 420 m on a bearing S35°E to point C. Then travel along a bearing of S40°W for 500 m to Point D. Then return to Point A.
  5. Math

    Point A is 15 miles directly north of point B. From point A, point C is on a bearing of 129°25', and from point B the bearing of C is 39°25'. Find a) the distance between A and C and b)the distance between B and C.
  6. Math

    A boat sails 40km from point A to point B, east of A on a lake. Lodge P is south of point A. Another lodge Q is south of point B. The bearing of Q from point A is S52degresE and the bearing of P from B is S39degresW. If P is 60km from …
  7. mathematics

    from a point x a boat sails 6 km on a bearing of 038 degrees to a point y.it then sails 7 km from y on a bearing of 067 degrees to a point z.calculate the; a.distance XZ correct to two decimal places b.bearing of Z from X correct to …
  8. bearing

    Pq and R are point in the same horizontal plane.the bearing of Q from P is 150% and the bearing of R from Q is 060%.if line (PQ)is 5cm and line (QR)is 3cm find the bearing of R from P correct to nearest degree
  9. Math

    A plane flies 430 miles at a bearing of N27°E, then turns and flies N63°E for 135 miles. Find the distance and the bearing from the starting point to the ending point ?
  10. Trigonometry

    A pilot flies her plane on a bearing of 35 degrees minutes from point X to point Y, which is 400mi from X. Then she turns and flies on a bearing of 145 degrees to point Z, which is 400 mi from her starting point X. What is the bearing …

More Similar Questions

Post a New Question