Answer:
The angle of elevation of the sun is 38.65°.
Step-by-step explanation:
Given a utility pole has height=40 ft and it creates a shadow of 5=ft.
Thus, in order to find the angle of elevation of the sun, let the angle of elevation of the sun be α, then
[tex]tan{\alpha}=\frac{AC}{BC}[/tex]
⇒[tex]tan{\alpha}=\frac{40}{50}[/tex]
⇒[tex]tan{\alpha}=\frac{4}{5}[/tex]
⇒[tex]tan{\alpha}=0.8[/tex]
⇒[tex]{\alpha}=tan^{-1}(0.8)[/tex]
⇒[tex]{\alpha}=38.65^{{\circ}}[/tex]
Thus, the angle of elevation of the sun is 38.65°.
