Math (Pre-Calc)

posted by .

An airplane is flying east at a constant altitude of 28,000 meters. When first seen to the east of an observer, the angle of elevation to the airplane is 71.5 degrees. After 73 seconds, the angle of elevation is 51.6 degrees. Find the speed of the airplane.

  • Math (Pre-Calc) -

    tan71.5 = Y/X = 28,000 / X.
    X = 28,000 / tan71.5 = 9369 m. = d1.

    X = 28,000 / tan51.6 = 22,193 m.= d2.

    V = d/t = (d2-d1)/t.
    V = (22,193-9369) / 73 = 176 m/s.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    an airplane is flying at a constant altitude of 28000 meters. when first seen to the east of the observer, the angle to the airplane is 71.5 degrees. after 73 seconds, the angle of elevation is 51.6 degrees. find the speed of the airplane.
  2. calculus

    An airplane at a height of 2000 meters is flying horizontally, directly toward an observer on the ground, with a speed of 300 meters per second. How fast is the angle of elevation of the plane changing when this angle is 45 degrees?
  3. algebra

    a landing airplane, moving in a straight line , passes over two points (p and q) which are 300 feet apart. when the airplane is above p, as seen from Q, its angle of elevation is 60 degress, and when above Q, as seen from p, its angle …
  4. Geom./Trig.

    an airplane flies directly overhead at 540mph. 1 minute later is seen at an angle of elevation of 34 degrees. how far did the airplane fly during that time?
  5. Math

    At an airport, a flight controller is in a tower 45m above the ground. She observes an airplane flying at a constant altitude at an angle of elevation of 14 degrees from her line of sight. Seven seconds later, the airplane flies directly …
  6. Math

    A ground observer sights a weather balloon to the east at an angle of elevation of 15º. A second observer 3 miles to the east of the first also sights the balloon to the east at an angle of elevation of 24º. How high is the balloon?
  7. Math

    An aircraft which is maintaining a constant altitude of 1000 meters is travelling directly away from an observer. At a particular instant the sngle of elevation is 52 degrees and 12 seconds later the angle of elevation is 16 degrees. …
  8. Physics

    An airplane is flying above an observer standing on the ground. At the moment it passes overhead, the observer judges by its apparent size that the airplane’s altitude is 30,000 feet. It takes 50 seconds for the plane, moving in …
  9. Calculus

    An airplane is flying above an observer standing on the ground. At the moment it passes overhead, the observer judges by its apparent size that the airplane’s altitude is 30,000 feet. It takes 50 seconds for the plane, moving in …
  10. precalc

    When an airplane leaves the runway, its angle of elevation is 18 and its speed is 275 feet per second. Find the airplane’s altitude after one minute (60 seconds). Assume a constant angle of elevation. Draw the scenario, if …

More Similar Questions