Answer: 1974.6
Step-by-step explanation:
Given
From the top of the air traffic control tower which is h=100 ft tall
The plane is observed at an angle of [tex]32^{\circ}[/tex]
Horizontal distance is 3000 ft
As per the diagram, we can write
[tex]\Rightarrow \tan 32^{\circ}=\dfrac{H}{3000}\\\\\Rightarrow H=3000\tan 32^{\circ}=1874.6\ ft[/tex]
So, the plane altitude from the ground is [tex]H+100=1974.6\ ft[/tex]
