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A momma bird is sitting on the ground. The baby bird in the nest can see her momma at an angle of depression of 54°. If the momma bird is 18 feet from the base of the tree, how high is the bird's nest off the ground? Question 2 options: 28 ft 25 ft 15 ft 11 ft

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mhanifa

Answer:

  • B. 25 ft

Step-by-step explanation:

We have the following points:

  • B- position of baby bird
  • M- position of momma bird
  • G- base of the tree

Given:

  • GM = 18 feet
  • BG = x
  • m∠BMG = 54°

Find the value of x:

  • x / GM = tan ∠BMG
  • x / 18 = tan 54°
  • x = 18 tan 54°
  • x = 24.77 ≈ 25 ft

Correct choice is B

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