Answer:
The angle of depression between the plane and radio tower is [tex]40^{\circ}[/tex]
Step-by-step explanation:
From the diagram attached below,
AB = Height at which the plane is flying.
AC = Distance between the plane and a radio tower.
We have to calculate the angel of depression or θ.
The triangle ABC is a right angle triangle. So,
[tex]\Rightarrow \sin \theta=\dfrac{p}{h}[/tex]
[tex]\Rightarrow \sin \theta=\dfrac{AB}{AC}[/tex]
[tex]\Rightarrow \sin \theta=\dfrac{32000}{50000}=0.64[/tex]
[tex]\Rightarrow \theta=\sin^{-1}0.64=39.7\approx 40^{\circ}[/tex]
