Math

A plane flies 505 kilometers with a bearing of 316° (clockwise from north) from Naples to Elgin. The plane then flies 770 kilometers from Elgin to Canton (see figure in the link below). Canton is due west of Naples. Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)
www.webassign.net/larpcalclim2/6-1-048-alt.gif

  1. 👍 1
  2. 👎 0
  3. 👁 120
  1. You fly a HEADING, not a Bearing
    You sight a bearing toward something from you.
    ( mathematicians drive me nuts)
    NE = 505
    EC = 770
    360 - 316 = 54 W of N so ENC = 90 - 54 = 36 deg
    sin ECN / 505 =sin 36/770
    sin ECN = .588 (505/770) = .385
    ECN = 22.7 deg
    that is your desired heading south of west from E to C
    270 - 23 = 247 deg

    1. 👍 1
    2. 👎 0
    posted by Damon
  2. thanks damon, but which one is the final answer 22.7degrees or 22.7degrees

    1. 👍 1
    2. 👎 0
  3. west - 22.7 = west - 23 to whole number = 270-23 = 247 deg clockwise from North

    1. 👍 1
    2. 👎 0
    posted by Damon
  4. ok thanks

    1. 👍 1
    2. 👎 0
  5. 22.7 would be just 22.7 degrees East of North :), off into the bleak ocean.

    1. 👍 1
    2. 👎 0
    posted by Damon
  6. 360-316 = 44o W. of N.
    Cos44 = h/505.
    h = 363 km.

    Cos A = 363/770.
    A = 62o W. of S. = 242o CW from +y-axis = Bearing(Heading) from Elgin to Canton.

    1. 👍 0
    2. 👎 0
    posted by henry2,

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trigonometry

    A plane flies 510 kilometers with a bearing of N43 degrees W from airport B to airport C. The plane then flies SW 790 kilometers from C to A which is due west of B. Find bearing of flight from C to A.

    asked by Shannon on November 17, 2015
  2. trig/precalc

    a plane flies 810 miles form Franklin to Centerville with a bearing of 75 degrees (clockwise from north). then it flies 648 miles from centerville to rosemont with a bearing of 32 degrees. find the straight-line distance and

    asked by mimi on January 20, 2011
  3. math, trigonometry

    a plane starts from a point P and flies 240km on a bearing of 120degrees to Q. At Q the plane makes a 90degree turn and flies back 100km on a bearing of 210degrees to R. At R the plane again changes direction and flies back to P.

    asked by YaYeet on October 31, 2018
  4. Ave maria catholic secondary school

    an aeroplane leaves an airport,flies due north for two hours at 500km/hr.it then flies 450km on a bearing 053.how far is the plane from the airport and what is its bearing from bearing from east

    asked by Mercy on October 29, 2015
  5. PHYSIC 220

    A radar station locates a sinking ship at range 16.7 km and bearing 136° clockwise from north. From the same station, a rescue plane is at horizontal range 19.6 km, 153° clockwise from north, with elevation 2.40 km. (a) Write

    asked by SFSU on February 12, 2016
  6. math - bearings

    Been working on this question for a while. Have drawn a diagram (looks like a tilted trapezium, correct me if i'm wrong), but I still can't find any right angles to calculate the distance. Help would be appreciated, thanks.

    asked by anonymous on January 12, 2018
  7. Maths

    A plane flies a course of 346 degrees and then turns through 30 degrees in the clockwise direction. Find its new bearing. Since the plane from starting point covers a bearing of 346 degrees it's now going to be in the NW direction

    asked by James on October 18, 2016
  8. trigonometry

    A plane starts from point P and flies 240km on a bearing of 120 degrees to Q. At Q the plane makes a 90 degree turn and flies 100km on a bearing of 210 degrees to R. At R the plane again changes directions and flies back to P.

    asked by bob on September 26, 2018
  9. algebra

    Plane X flies 2,000 kilometers in 5 hours. Plane Y flies half as far in twice the time. What is the average speed, in kilometers per hour, of plane Y?

    asked by ashlee on March 16, 2010
  10. Physics

    A radar station locates a sinking ship at range 16.0 km and bearing 136° clockwise from north. From the same station, a rescue plane is at horizontal range 19.6 km, 155° clockwise from north, with elevation 2.35 km.

    asked by C on September 6, 2015

More Similar Questions