math

A man is standing in the corridor of a ten storey building and looking at a tall tree in front of the building he sees the top of the tree at an angle of depression 30degree if the tree is 200metre tall and the man's eyes are 300metre above the ground calculate the angle of depression of the foot of the tree as seen by the man

  1. 👍
  2. 👎
  3. 👁
  1. tan30=500/x
    1/root3

    1. 👍
    2. 👎
  2. since the top of the tree is 100m down, and tan30° = 1/√3,
    the tree is 100√3 meters from the building.

    So if the angle to the foot of the tree is x, then
    tanx = 300 / 100√3 = 3/√3 = √3
    x = 60°

    1. 👍
    2. 👎
    👤
    oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    1) While standing on top of a 360. m tall building, you see Iron Man flying straight down toward the ground at a speed of 34.0 m/s. Just as he passes you, you drop a can of Dr Pepper off the roof. How fast is the can going when it

  2. PHYSICS

    Two skaters, a man and a woman, are standing on ice. Neglect any friction between the skate blades and the ice. The mass of the man is 95 kg, and the mass of the woman is 55 kg. The woman pushes on the man with a force of 57 N due

  3. differential calculus

    a man 6 ft tall is walking toward a building at the rate of 4 ft/sec. if there is a light on the ground 40 ft from the building, how fast is the man's shadow on the building growing shorter when he is 30 ft from the building?

  4. physics

    While standing on top of a 256 m tall building, you see Iron Man flying straight down toward the ground at a speed of 32.0 m/s. Just as he passes you, you drop a can of Dr Pepper off the roof. How fast is the can going when it

  1. Physics

    In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 3.5 m away. After a running start, he leaps at an angle of 14 with respect to the flat roof while traveling at a speed

  2. Calculus

    A 12m tall antenna sits on top of a building. A person is standing some distance away from the building. If the angle of elevation between the person and the top of the antenna is 60°, and the angle of elevation between the

  3. Algebra 2 help its urgent please(:

    Jacob is standing 112 m from a building. The angle of elevation when he looks up to the top of the building is 62°. How tall is the building? Enter your answer, rounded to the nearest tenth I'm really confused on this question

  4. Per Calculus

    A surveyor is standing 50 feet from the base of a building. The angle of elevation to the top of the building is 60 degrees. Approximately how tall is the building?

  1. geometry

    chung ho is standing on the top of a building that is 135m tall. The angle of depression to the top of the building next door is 71 degrees. The angle to the base of the building is 77 degrees. The buildings are 31m apart. How

  2. physics

    In a scene in an action movie, a stunt man jumps from the top of one building to the top of another building 3.8 m away. After a running start, he leaps at an angle of 18◦ with respect to the flat roof while traveling at a speed

  3. physics

    While standing on top of a 220. m tall building, you see Iron Man flying straight down toward the ground at a speed of 30.0 m/s. Just as he passes you, you drop a can of Dr Pepper off the roof. How fast is the can going when it

  4. Geometry

    The man who is 1.9 meters tall is standing near a 5-meter flag pole. If the man casts a 2.4-meter shadow, how far from the pole is the man standing?

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