Answer:
Distance between the plane and the observer is 511.86 miles.
Step-by-step explanation:
From the figure attached,
A plane is flying at point A which is at 200 m height and observer is at point C.
Angle of elevation (∠ACB) of the plane from the observer is 23°.
Let the distance between the observer and the plane is x meters.
By applying sine ratio for angle C,
sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(23°) = [tex]\frac{200}{x}[/tex]
x = [tex]\frac{200}{\text{sin}(23)}[/tex]
x = 511.86 miles
Therefore, distance between the plane and the observer is 511.86 miles.
