Answer:
The angle is [tex]\theta =27.84^o[/tex]
Step-by-step explanation:
From the question we are told that
The height of the tree is [tex]h = 47 \ ft[/tex]
The length of the shadow is [tex]L = 89 \ ft[/tex]
Generally applying SOHCAHTOA , the angle of elevation is evaluated as
[tex]tan \theta = \frac{h}{L }[/tex]
=> [tex]tan \theta = \frac{47}{89}[/tex]
=> [tex]tan \theta = 0.52809[/tex]
=> [tex]\theta = tan^{-1} [0.52809 ][/tex]
=> [tex]\theta =27.84^o[/tex]
