Answer: [tex]309\ ft[/tex]
Step-by-step explanation:
Given
Vertical distance between two helicopters is 300 ft
angle of depression is [tex]76^{\circ}[/tex]
Suppose the distance between the helicopters is d
from the figure, we can write
[tex]\Rightarrow \sin 76^{\circ}=\dfrac{300}{d}\\\\\Rightarrow d=\dfrac{300}{\sin 76^{\circ}}\\\\\Rightarrow d=309.18\approx 309\ ft[/tex]
The distance from the helicopter from the another helicopter which is 300 feet below is 309 ft.
The angle of depression is the angle made between the straight line and the line of observer seeing the object, which is below that straight line.
A helicopter is told that there is another helicopter 300 feet. Hence the vertical distance between two helicopters is 300 ft.
The angle of depression from the helicopter which is a height below to the another helicopter is 76°.
The image of the given situation is attached below. Let suppose the distance between them is x meter. Then from the trigonometry the sine angle can be given as,
[tex]\sin(76)=\dfrac{300}{x}\\x\approx 309\rm\; ft[/tex]
Hence, the distance from the helicopter from the another helicopter which is 300 feet below is 309 ft.
Learn more about the angle of depression here;
https://brainly.com/question/10217662
