Precalculus

An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east.
If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed:  _____mph   Direction:______ °   
If the airplane had encountered no wind at all, it would have reached its final destination in two hours along its original course. Assuming the pilot never corrected his course and that the wind continues to blow at the given speed and direction, how far from its final destination is the airplane after two hours of flying under the given conditions?____  miles   ​

  1. 👍
  2. 👎
  3. 👁
  1. So for speed I got 454.22787863 mph
    And for miles in the last part is 68 miles.

    1. 👍
    2. 👎
  2. I just need help finding the direction

    1. 👍
    2. 👎
  3. If you got the speed, then you must have come up with an expression involving √(x^2+y^2)
    The direction, measured N from E, is θ, where
    tanθ = y/x
    Remember your polar coordinates.

    1. 👍
    2. 👎
    👤
    oobleck
  4. How exactly would I use the tanθ = y/x formula

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. trig

    An aifplane is flying on a compass heading (bearing) of 170* at 460 mph. A wind is blowing with the bearing 200* at 80mph. a) Find the component form of the velocity of the airplane. b) Find the actual ground speed and direction

  2. Algebra 2. Please Help Someone!!

    an airplane's altitude is 100 feet as it descents for a landing on a runway whose touchdown is 5000 ft away. Let the x-axis represent the ground and the y-axis represent the airplane's altitude. What is the slope of the airplane's

  3. Trig

    An airplane is flying on a compass heading (bearing) of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane. then find the actual ground speed

  4. mathematics

    Two planes flying opposite directions (north and south) pass each other 80 miles apart at the same altitude. The northbound plane is flying 200 mph (miles per hour) and the southbound plane is flying 150 mph. How far apart are the

  1. Physics

    A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0.420 . Suddenly, the plane accelerates forward, its altitude

  2. Maths

    Two aircraft are flying toward each other , both are flying at a spped of 450 mph. With a distance of 45 miles between them, how long will it take before the aircraft meet?

  3. Trigonometry

    An airplane is traveling at 650 mph on a heading of 255°. The wind is blowing from a bearing of 320° at 28 mph. What is the ground speed and the actual bearing of the airplane? P.S. I prefer the law of cosine/sine method

  4. Precalculus

    An airplane is flying on a bearing of 285 degrees at 480 mph. A wind is blowing with the bearing 265 degrees at 30? a. find the component from of the velocity of the airplane b. find the actual speed and direction of the airplane

  1. Trig/Precal

    An airplane flies on a compass heading of 90° at 310 mph. The wind affecting the plane is blowing from 332° at 40 mph. What is the true course and ground speed of the airplane?

  2. mathematics

    An airplane is flying at an altitude of 36,000 feet when it begins it's descent for landing. Twelve minutes into its descent, its at 29,400 feet. Find the rate of change in altitude?

  3. mathematics

    Two planes flying opposite directions (north and south) pass each other 80 miles apart at the same altitude. The northbound plane is flying 200 mph (miles per hour) and the southbound plane is flying 150 mph. When are the planes

  4. trigonometry

    the pilot in an airplane observes the angle of depression of a light directly below his line of sight to be 30.4 degrees. a minute later, its angle of depression is 43.0 degrees. if he is flying horizontally in a straight course

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