Question

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

Answer 1

• B. 25 ft

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