trigonometry

posted by .

An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 35° and to the other is 55°. How far apart are the cars? (Round your answer to the nearest foot.)

  • trigonometry -

    Did you make a sketch?
    According to mine

    distance of first car:
    tan 35 = 5150/x
    x = 5150/tan35
    distance for 2nd car:
    tan 55 = 5150/y
    y = 5150/tan55

    total distance between two cars
    = x + y
    = 5150/tan35 + 5150/tan55 = appr 10961 feet

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig

    A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 4 mi apart, to be x = 27° and y = 53°, as shown in the figure. (Round your answers to two decimal places.) (a) Find the distance …
  2. Trig

    A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 3 mi apart, to be angle x = 31° and angle y = 49°, as shown in the figure. (Round your answers to two decimal places.) Find the distance …
  3. trigonometry

    An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway, both on one side of the plane. If the angle of depression to one car is 34° and to the other is 51°, …
  4. math

    an airplane is flying at a height of 2 miles above the level ground. the angle of depression from the plane to the foot of a tree is 15 degree. Find the distance that the plane must fly to be directly above the tree.
  5. maths

    A straight highway leads to the foot of a tower of height 50m. From the top of the tower, the angles of depression of two cars standing on the highway are 30 degree and 60 degree. What is the distance between the two cars and how far …
  6. maths

    A straight highway leads to the foot of a tower of height 50m. From the top of the tower, the angles of depression of two cars standing on the highway are 30 degree and 60 degree. What is the distance between the two cars and how far …
  7. Trigonometry

    A jet plane flying 6000 m above the ground passed directly above Ana. one minute later, Ana noticed that the plane's angle of elevation was 18 degrees 34 minutes. What was the horizontal distance covered by the plane?
  8. 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 at …
  9. trigonometry

    Two stations A and B are 2,000m apart. When an airplane was directly above A, an observer at B found that the angle of elevation of the airplane is 60° . How far is the plane from the station B?
  10. trigonometry

    a surveyor 1standing on a highway observed the angle of elevation of the airplain as 22.5°. at the same time, a surveyor 2 observed the angle of elevation of the same airplane to be 30°. if the airplane was 850m directly above a …

More Similar Questions