Math - Trigonometry

From an aeroplane, at an altitude of 2.3km, the angle of depression of the airport is 32Degrees and the angle of depression of the town is 18degrees (both are in direct line ahead of the plane) How far is the town from the airport?

  1. 👍 0
  2. 👎 0
  3. 👁 108
  1. If we label the diagram as follows:
    P = plane
    A = point on ground just below the plane
    B = airport
    C = town

    we want to find BC

    2.3/AB = tan 32
    2.3/(AB+BC) = tan 18
    eliminating the AB we have

    2.3/tan32 = 2.3/tan18 - BC
    Now just solve for BC.

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Maths

    An aeroplane is flying horizontally directly towards the city at an altitude of 400 metres. At a given time the pilot views the city lights of Melbourne at an angle of depression of 1.5 degrees. Two minutes later the angle of

    asked by Rick on September 26, 2017
  2. Pre-Calculus-Trig

    A pilot in a plane at an altitude of 22,000 feet observes that the angle of depression to a nearby airport is 26 degrees. How many miles is the airport from a point on the ground directly below the plane?

    asked by Chloe Mack on January 30, 2011
  3. physics-sir damon help

    An paris aeroplane left Benin airport at 1:00pm to fly to Yola airport 600km away on a bearing of 110• at an airspeed of 220km/hr. On that particular day, the meteorologists reported that there existed a steady wind of 35km/hr

    asked by pjy on October 2, 2016
  4. Math

    If an elevation that is cruising at an altitude of 9 km wants to land at NAIA iys must begin its descent so that the angle of depression to the airport is 7 degrees. What is its illustration and the answer

    asked by Kristine on March 8, 2016
  5. math

    Aplane is flying at an altitude of 12000m from the pilot the angle of depression tothe airport toweris32 degrees how far is the tower from a point directly beneath the plane

    asked by romain on May 11, 2014
  6. trig

    A passenger airplane flying at an altitude of 1.8 km starts its final airport approach by descending at an angle of depression of 6°. How far along the ground is the airplane from its landing point

    asked by kristy on March 29, 2011
  7. trig

    A plane is flying at an elevation of 30000 feet. It is within sight of the airport and the pilot finds that the angle of depression to the airport is 18. Find the distance between the plane and the airport. Find the distance

    asked by tim on March 10, 2010
  8. Math

    A plane is flying at an altitude of 12,000 feet and is preparing to land at a nearby airport. The angle from the airport to the plane is 17. To the nearest tenth of a foot, how far is the airport from the plane?

    asked by Valentino on March 4, 2012
  9. math

    An aeroplane flies due north from Ikeja Airport for 500km. It then flies on a bearing of 060 degrees for a further distance of 300km before overflying a road junction.Calculate a. The distance of the aeroplne from Ikeja Airport

    asked by Anonymous on November 15, 2015
  10. geometry

    A plane is flying at an altitude of 12,000 m. From the pilot, the angle of depression to the airport tower is 32°. How far is the tower from a point directly beneath the plane?

    asked by niglet on May 23, 2014

More Similar Questions