Answer:
Distance between the person and the plane is 12 miles
Step-by-step explanation:
From the figure attached,
An airplane is flying at an altitude AB = 6 miles.
An observer is standing at point C from where he observes the plane at an angle of elevation θ
Therefore, sinθ = [tex]\frac{\text{\text{Opposite side}}}{\text{Hypotenuse}}[/tex]
sinθ = [tex]\frac{AB}{AC}[/tex]
AC = [tex]\frac{AB}{sin\theta }[/tex]
AC = 6cosecθ
If angle θ = 30°
Then AC = 6cosec30
AC = 6×2
AC = 12 miles
Therefore, distance between the person and the plane is 12 miles.
