math

posted by .

if I am traveling by plane from Marshfield to Minnepolis (150 Statue miles) which equals 172.5 nautical miles. Our true course is set at 207 degrees. Theresa os a wind blowing from 90 degrees at 10 knots. Normally the plane travels at 100 knots per hour, but the wind will affect speed.

the questions is, how fast we will travel? amd how long to fly the 150 statue Miles to Minneapolis?

  • math -

    I made a vector diagram and called the magnitude of the resultant x
    x^2 = 10^2 + 100^2 - 2(10)(100)cos117
    = 11548.19
    x = 107.46 knot

    so the time is 172.5/104.46 = 1.605 hours
    or 1 hour and 36 minutes.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    My Question is : A plane with an air pf 192 miles per hour is headed on a bearing of 121 degrees. A north wind is blowing ( from north to south ) at 15.9 miles per hour. Find the ground speed and the actual bearing of the plane.
  2. Pre-Cal

    A pilot wishes to fly on course 290 with an air speed of 300 knots when the wind blows from 224 at 18 knots. Find the drift angle to the nearest hundredth of a degree. A.3.22° B.5.07° C.86.86° A river is flowing at the rate of 2.4 …
  3. College Algebra

    A jet flies from Atlanta to Dubuque a distance of 900 miles. After traveling the same amount of time on the return flight,the pilot mentioned they still had 150 miles to go. The airspeed of the plane was 300 miles per hour. How fast …
  4. calculus

    Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 429 knots (nautical miles per hour; a nautical …
  5. Math Technology

    A pilot is flying to a destination 700 miles away at a bearing of 105 degrees. The cruising speed of the plane is 500 mile per hour and the the wind is blowing between 20 and 30 miles per hour at a bearing of 30 degrees. At what bearing …
  6. precalc

    1. A plane is headed at 122 degrees with an air speed of 350mph in a wind that is blowing from 38 degrees. Find the ground speed of the plane and the speed of the wind if the actual flight was at 133 degrees. 2. A plane is heading …
  7. Calc

    Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 427 knots (nautical miles per hour; a nautical …
  8. Calc

    Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 427 knots (nautical miles per hour; a nautical …
  9. math

    A ship sails due north from a position 5 degrees, 28' South Latitude to position 6 degrees, 43' North Latitude. Given that one minute of latitude is equivalent to 1 nautical mile, the ship has sailed a distance of A. 75 nautical miles …
  10. Math (Trig)

    A ship leaves port at noon and has a bearing of S 25° W. The ship sails at 15 knots. How many nautical miles south and how many nautical miles west does the ship travel by 6:00 P.M.?

More Similar Questions