trig

posted by .

A bird at the top of a tree looks down at a field mouse with an angle of depression of 65 degrees. If the field mouse is 30 meters from the base of the tree, find the distance from which the field mouse to the bird's eyes. Round the answer to the nearest tenth.

  • trig -

    did you make a sketch of the right-angled triangle?
    Remember the line of sight is parallel to the ground, and alternate angles are equal.

    I have
    tan 65° = h/30 , where h is the height of the tree
    h = 30tan65 = 64.3 metres

  • trig -

    I feel the question required not the ht of tree but distance between bird's eye and mouse which will be=hypoteneuse =30/cos65. May please check.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig

    Because of prevailing winds, a tree grew so that it was leaning 4 degrees from the vertical. At a point, 35 meters from the tree, the angle of elevation to the top of the tree is 23 degrees. Find the height h of the tree
  2. Geometry

    A man is sitting by a pool. He looks up at an angle of elevation of 18 degrees at a bird in a nest at the top of a tall tree. Since the man is 200 feet from the bird's tree. How tall is the tree?
  3. math

    From a lookout tower 80 ft. high, a man observes from a position 6.5 ft. below the top of the tower that the angle of elevation of the top of a certain tree is 12 degrees 40 minutes and the angle of depression of its base is 72 degrees …
  4. Math - Trig

    From the foot of a building I have to look upwards at an angle of 22° to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50° to look at the top …
  5. Math - Trig

    From the foot of a building I have to look upwards at an angle of 22degrees to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50degrees to look at …
  6. trig

    From the foot of a building i have to look upwards at an angle of 22 degrees to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50 degrees to look …
  7. Math

    A man looks up at the top of a tree. The angle of elevation is 42 degrees. If the tree is 20 feet tall, which of the following best represents the distance from the base of the tree where the man is standing?
  8. trig

    A bird at the top of a tree looks down on a field mouse at an angle of depression of 65°. If the field mouse is 30 meters from the base of the tree, find the vertical distance from the ground to the bird’s eyes. Round the answer …
  9. geometry

    From the base of a hill , the angle of elevation is 23 degrees . The tree forms a 110 degrees angle with the hillside . The distance from the base of the hill to the base of the tree is 120 meters. Find the height of the tree.
  10. math

    a falcon sitting in its nest sees a mouse on the ground in a nearby field. if the falcon flies directly to the mouse, at what angle with the ground will the falcon dive to catch the mouse if his nest is 200 feet in the air and the …

More Similar Questions