An airplane is flying at a height of 200m. Its angle of elevation to an observer on the ground is 230. Calculate the distance of the airplane from the observer.

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) =

sin(23°) =

x =

x = 511.86 miles

Therefore, distance between the plane and the observer is 511.86 miles.