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jarptica [38.1K]

3 years ago

7

Two birds are sitting on the ground below their nest. Bird A is between the nest and Bird B. The angle of elevation from Bird A

to the nest is 60 degrees and the angle of elevation from Bird B is 30 degrees. Bird B is 25 feet from the nest. How far from the nest is Bird A?

1 answer:

ruslelena [56]3 years ago

4 0

Answer:

Not sure

Step-by-step explanation:

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1. In ABC, C is a right angle and BC = 11. If B = 30°, find AC. (1 point)

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Answer:

$AC=\frac{11\sqrt{3}}{3}$

Step-by-step explanation:

Given that triangle ABC is a right angle triangle. Where angle C is a right angle. Also we have been given that BC = 11, B = 30°. Now we need to find the value of AC.

Apply formula:

$\tan\left(\theta\right)=\frac{opposite}{adjacent}$

$\tan\left(B\right)=\frac{AC}{BC}$

$\tan\left(30^o\right)=\frac{AC}{11}$

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$AC=\frac{11}{\sqrt{3}}$

or

$AC=\frac{11}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}$

or

$AC=\frac{11\sqrt{3}}{3}$

Hence final answer is $AC=\frac{11\sqrt{3}}{3}$ .

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