Answer:
[tex]1206.22\ \text{ft}[/tex]
Step-by-step explanation:
The height at which the helicopter is 1000 ft
Angle of depression is [tex]56^{\circ}[/tex]
[tex]\theta=90-56=34^{\circ}[/tex]
We have the relation
[tex]\cos\theta=\dfrac{\text{Adjacent side}}{\text{Hypotenuse}}\\\Rightarrow \cos34^{\circ}=\dfrac{1000}{x}\\\Rightarrow x=\dfrac{1000}{\cos 34^{\circ}}\\\Rightarrow x=1206.22\ \text{ft}[/tex]
The distance of the helicopter to the landing space is [tex]1206.22\ \text{ft}[/tex].
