math

From the top of the control tower 250 m tall, an airplane is sighted on the ground below. If the airplane is 170 m from the base of the tower, find the angle of depression of the airplane from the top of the control tower.

  1. 👍
  2. 👎
  3. 👁
  1. tan(Θ) = 250/170

    1. 👍
    2. 👎
  2. 10.0

    1. 👍
    2. 👎
  3. From the top of the control tower 250 m tall, an airplane is sighted on the ground below. If the airplane is 170 m from the base of the tower, find the angle of depression of the airplane from the top of the control tower

    1. 👍
    2. 👎
  4. YEs

    1. 👍
    2. 👎
  5. |\
    | \
    | \
    | \
    | \
    | \
    | \
    | ( ß ) \
    base ———————— boat
    of the x
    airplane

    Tan= Opposite/Adjacent
    Tan ß = 250m/170m
    Tan ß = 1.470588235

    Since we are looking for angle theta's value, we need to press:
    Shift+Tan+1.470588235 = 55.78429786 m is the angle of depression of the airplane from the top of the control tower.

    (We should always answer in a complete sentence of atleast label you answer. Peace.)

    1. 👍
    2. 👎
  6. Tan= Opposite/Adjacent

    Tan ß = 250m/170m

    Tan ß = 1.470588235

    Since we are looking for angle theta's value, we need to press:

    Shift+Tan+1.470588235 = 55.78429786 m is the angle of depression of the airplane from the top of the control tower.

    (Sorry, I can't show you how the right triangle or the figure will look like. But we should always answer in a complete sentence of atleast label you answer. Peace.)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Pre calc

    A water tower is located x = 375 ft from a building (see the figure). From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39° and that the angle of depression to the bottom of

  2. Trigonometry

    The Leaning Tower of Pisa in Italy leans because it was built on unstable soil—a mixture of clay, sand, and water. The tower is approximately 58.36 meters tall from its foundation (see figure). The top of the tower leans about

  3. oblique triangle trigonometry

    The leaning Tower of Pisa in Italy leans because it was built on unstable soil – a mixture of clay, sand, and water. The tower is approximately 58.36 meters tall from its foundation. The top of the tower leans about 5.45 meters

  4. Trigonometry

    An airplane is sighted at the same time by two ground observers who are 2 miles apart and both directly west of the airplane. They report the angles of elevation as 11˚ and 20˚. How high is the airplane? Round to the nearest

  1. math

    A hiker is 400 meters away from the base of the radio tower. The angle of elevation to the top of the tower is 46 degrees . How high is the tower?

  2. Math

    1. A rangers tower is located 44m from a tall tree. From the top of the tower, the angle of elevation to the top of the tree is 28 degrees and the angle of depression to the base is 36 degrees. How tall is the tree? 2. An engineer

  3. mathematics

    To find the height of a tower, a surveyor positions a transit that is 2 meters tall at a spot 35 meters from the base of the tower. She measures the angle of elevation to the top of the tower to be 37°. What is the height of the

  4. Trig

    From a point P on level ground, the angle of elevation of the top of a tower is 27°10'. From a point 23.0 meters closer to the tower and on the same line with P and the base of the tower, the angle of elevation of the top is

  1. Trigonometry

    At a point on the ground 125 ft from the base of a tower, the angle of elevation to the top of the tower has a degree measure of 38 degrees. How high is the tower

  2. Math

    A communications company erects a 100-foot tall cellular telephone tower on level ground. Determine the angle of depression, θ (in degrees), from the top of the tower to a point 43 feet from the base of the tower. Round answer to

  3. Maths

    A man 1.5m tall is 15m away from a tower 20m high.What is the angle of elevation of the top of the tower from his eyes?

  4. precalculus

    A radio tower is located 450 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 29 degrees and that the angle of depression to the bottom of the tower is

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