Marilyn stood 18 feet away from a spot direclt underneath a bird’s nest and looked up at the nest with an angle of elevation of 28°. Marilyn

Question

Marilyn stood 18 feet away from a spot direclt underneath a bird’s nest and looked up at the nest with an angle of elevation of 28°. Marilyn eyes were 4 feet above the ground. Find the height of the bird’s nest above the ground rounded to the nearest foot?

in progress 0
Anna 2 weeks 2021-09-08T22:36:35+00:00 2 Answers 0

Answers ( )

    0
    2021-09-08T22:38:24+00:00

    Answer: 9ft off the ground

    Step-by-step explanation:

    tan28/1=x/18, cross multiply and get x=18tan28, put 18tan28 into the graphic calculate and get ~5 then you add the 4ft height of Marilyn and get ~9ft.

    0
    2021-09-08T22:38:30+00:00

    Answer: height of the nest is 14 ft

    Step-by-step explanation:

    Marilyn’s line of sight forms a right angle triangle with the ground and the tree.

    Her distance from the spot directly underneath the bird’s nest represents the adjacent side of the right angle triangle.

    The height, h of the bird’s nest above the ground represents the opposite side of the right angle triangle. To determine h, we would apply the tangent trigonometric ratio. It is expressed as

    Tan θ = opposite side/adjacent side. Therefore,

    Tan 28 = h/18

    h = 18tan28 = 18 × 0.53

    h = 10 ft to the nearest foot

    Since her eyes is 4 feet from the ground, the total height of the nest above the ground is

    10 + 4 = 14 ft

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )