Math

Helen stands 66 m away from the base of the tree. If the line of sight makes an angle of 30 with the top of the tree with respect to the horizon. What is the height (h) of the tree?

  1. 👍 0
  2. 👎 0
  3. 👁 198
  1. h= 66 root 3 or 66 multiplied by the sq. root of 3.

    1. 👍 0
    2. 👎 0
  2. first turn this into a triangle...

    the base is 66 and you know two of the angles (30 deg. and 90 deg (the base and the ground)). Now this is a 30-60-90 triangle. the rules 4 30-60-90 is the base is x, the hyp. is 2x and the other leg is x multiplied by the sq. root of 3. you know x (66) so your answer is 66 multiplied by the sq. root of 3

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    The drawing shows a person looking at a building on top of which an antenna is mounted. The horizontal distance between the person's eyes and the building is d = 83.0 m. In part a the person is looking at the base of the antenna,

  2. physics

    The drawing shows a person looking at a building on top of which an antenna is mounted. The horizontal distance between the person's eyes and the building is 85.0 m. In part a the person is looking at the base of the antenna, and

  3. geometry

    Pine Tree In order to estimate the height h of a tall pine tree, a student places a mirror on the ground and stands where she can see the top of the tree, as shown. The student is 6 feet tall and stands 3 feet from the mirror

  4. maths

    A tree stands vertically on a hill side which makes an angle of 15 degree with the horizontal. From a point on the ground 35 meter down the hill from the base of the tree, the angle of elevation of the top of the tree is 60

  1. Physics

    The drawing shows a person looking at a building on top of which an antenna is mounted. The horizontal distance between the person's eyes and the building is 85.0 m. In part a the person is looking at the base of the antenna, and

  2. Geometry

    at 10 feet away from the base of a tree, angle the top of a tree males with the ground is 61 degrees. of the tree grows at an angle of 78 degress with the respect to the ground, how tall is the tree to the nearest foot?

  3. math

    At a point on the ground 80ft from the base of a tree,the distance to the top of the tree is 11ft more than 2 times the height of the tree. find the height.

  4. Cash Budgeting Question

    Cash Budgeting – Helen Bowers, owner of Helen’s Fashion Designs, is planning to request a line of credit from her bank. She has estimated the following sales forecasts for the firm for parts of 2006 and 2007: May 2006 $180,000

  1. 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

  2. MATH

    An arborist monitors growth of a baobab tree in an arboretum by standing 8 meters from the base of the tree and measuring the angle of elevation to the top. The angle of elevation to one tree is 30∘. What is the approximate

  3. Trig

    when sitting atop a tree and looking down at his pal Joey, the angle of depression of Mack's line of sight is 53degrees 51inch. If joey is known to be standing 25 feet away from the base of the tree, how tall is the tree (to the

  4. geometry

    A park maintenance person stands 16 m from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 47°. What is the measure of the arc of the monument that her lines of sight

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