Answer: 29.94 feet
Step-by-step explanation:
Given: The distance between the pole and Leon= 60 feet
The height of eyes from the ground = 5.7 feet
The angle of elevation from his eyes to the bird =22°
Let h be the height of the pole .
From the picture below ,
In ΔABC
[tex]\tan22^{\circ}=\frac{h-5.7}{60}\\\Rightarrow\ 0.4040=\frac{h-5.7}{60}\\\Rightarrow\ h-5.7=60\times0.4040\\\Rightarrow\ h=24.24+5.7\\\Rightarrow\ h=29.94[/tex]
Hence, height of the pole = 29.94 feet.
