1. To avoid a steep descent, an airplane flying at 10 000 m starts its descent 60km away from the airport. For the angle of descent to be constant, at what angle should the plane descend?

2. A flagpole that is 20m high casts a shadow that is 18m long. What is the angle of elevation from the ground to the top of the flagpole?

  1. 👍 0
  2. 👎 0
  3. 👁 187
  1. 1. The first thing you need to do is convert 60km to meters, or 10,000m to kilometers; whichever you prefer. Next,it helps if you draw a right triangle. The plane is at a height of 10,000m; this is the vertical leg of the triangle. It is 60 km away from the airport; this is the horizontal leg of the triangle. The question is asking for the angle of descent; this is the angle(I'm going to call it <A) between the hypotenuse and the vertical leg. Since you have the lengths of the horizontal and vertical legs, you're going to have to use the Pythagorean theorem to find the length of the hypotenuse. Once you do, you can use either cosine of <A (which is the vertical leg-10,000m-divided by the hypotenuse) or sin(<A), (which is the horizontal leg-60km- divided by the hypotenuse), to find your answer. You can plug that into a calculator; don't forget to put your calculator in degree mode, to get the angle in degrees.

    2. You'll need to draw another right triangle. The vertical leg is 20m; the horizontal leg is 18m. The angle of elevation is the angle (I'm going to call it <B) between the horizontal leg and the hypotenuse. Use Pythagorean theorem to find the hypotenuse, then find the angle of elevation by doing either cos(<B) or sin(<B).

    1. 👍 0
    2. 👎 0
  2. Thanks much :)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    An airplane starts from rest at the end of a runway and accelerates at a constant rate. In the first second, the airplane travels 1.11 m. What is the speed of the airplane at the end of the second second?

  2. precalculus

    an airplane flying at 550 miles per hour has a bearing of N 52(DEGREES)E. After flying 1.5 hours, how far north and how far east has the plane traveled from its point of departure?

  3. math

    A submarine starts at sea level and descends at a rate of 20 meters per minute for 2 hours.Which statement describes the submarine's descent?

  4. 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

  1. Geometry

    To approach a runway, a plane must began a 7 degree descent starting from the height of 2 miles above the ground. To the nearest mile, how many miles from the runway is the airplane at the start of this approach?

  2. Physics

    A descent vehicle landing on the moon has a vertical velocity toward the surface of the moon of 26.6 m/s. At the same time, it has a horizontal velocity of 55.9 m/s. At what speed does the vehicle move along its descent path?


    Hot dogs and Hamburgers: 1.) The caterer for your class picnic charges $1 for each hotdog and $2 for each hamburger. You have $48 to spend. Write a model that shows the different numbers of hot dogs and hamburgers that you could

  4. algebra

    making linear equation from word problem At low altitudes, the altitude of a parachute and time in the air are linearly related. A jump at 2,880 ft use the US army T-10 parachute system last 120 sec. (A) find a linear model

  1. Calculus

    A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time the car is 15 kilometers to

  2. math

    A. 15-foot ladder is leaning against a house so that it is 7 feet from the ground. What angle does the ladder make with the ground? B. A plane must begin its descent when it is 80 feet above the ground and 250 feet from the

  3. physics

    an airplane is flying at 300 m/s(672 mi/h).How much time must elapse before a clock in the airplane and one on the ground differ by 1.00 s?

  4. Math

    An airplane is flying 100 km north and 185 km west of an airport. It is flying at a height of 7 km A) what is the straight long distance to the airport? B) what is the angle of elevation of the airplane, from the point of view of

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