A bird is perched on a window sill and notices a treat on the ground. The angle formed between the building and birds line of sight to the treat is 78°. If the treat is located 12 feet from the building, how high is the bird located to the nearest tenth of a foot?

A) 12.3 feet

B) 2.6 feet

C) 57.7 feet

D) 1.4 feet

Question

Mathematics

Esther Reynolds

27 April, 17:32

A bird is perched on a window sill and notices a treat on the ground. The angle formed between the building and birds line of sight to the treat is 78°. If the treat is located 12 feet from the building, how high is the bird located to the nearest tenth of a foot?

A) 12.3 feet

B) 2.6 feet

C) 57.7 feet

D) 1.4 feet

+3

Answers (1)

Know the Answer?

Gemma George · Answer 1

The answer to your question is the letter B) 2.6 feet

Step-by-step explanation:

Data

angle = Ф = 78°

Opposite side = 12 ft

Adjacent side = ?

To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is tangent.

tan Ф = Opposite side / Adjacent side

- Solve for Adjacent side

Adjacent side = Opposite side / tanФ

-Substitution

Adjacent side = 12 / tan 78

-Simplification

Adjacent side = 12 / 4.7

-Result

Adjacent side = 2.55 ≈ 2.6 ft