mathematics

a kite with a string 150 feet long makes an angle 45 with the ground, assuming the string is straight ,how high is the kite?

  1. 👍
  2. 👎
  3. 👁
  1. since a 45 degree right triangle has two equal sides, using pythagorean theorem,
    150^2 = a^2 + a^2
    2a^2 = 150^2
    a = squareroot(150^2/2) = 75sqrt(2) feet = ~106.066 feet

    1. 👍
    2. 👎
  2. sin45 = h/150
    h = 150*sin45 =

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of the kite from the ground is... A.20.27 B.61 C.77.27

  2. calculus 1

    A kite 100 ft above the ground moves horizontally at a speed of 10 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out?

  3. math

    Richard is flying a kite. The kite string makes an angle of 57 degress with the ground. If Richard is standing 100 feet from the point on the ground direcly below the kite, find the length of the kite string.. Please help!!!

  4. Math

    A kite, 135m higher above the ground has a string 200m long.Determine the angle formed by the string and the ground.

  1. Calculus 1

    A kite 100 ft above the ground moves horizontally at a speed of 9 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out?

  2. math

    when a child flying a kite has let out 50 m of string the string makes an angle of 55 degrees with the ground. how high is the kite

  3. math

    the statue of liberty is 150 feet tall, and stands on a 150 foot pedestal. How far from the base should you stand to have the statue subtend the largest possible angle at your camera lens, assuming the camera is held 5 feet off

  4. Pre-Cal

    A kite string is 400 ft. long. If the kite makes an angle of 42 with the ground, what is the height of the kite?

  1. Math

    A kite is 32m above from the ground. The angle the kite string makes with the ground is 39°. How long is the kite string, to the nearest metre?

  2. math

    a kite with a string 150ft long makes an angle of 45 degree with the ground. assuming that the string is straight how high is the kite?

  3. Math

    A kite has a string 100m long anchored to the ground. The string makes and angle with the ground of 65 degree. What is the horizontal distance of the kite from the anchor?

  4. Math

    A kite flying at a height of 55m is attached to a string which makes an angle of 55 degrees with the horizontal. What is the length of the string

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