Answer:
Angle of elevation is 35°
Step-by-step explanation:
A child lies on the ground and looks up at the top of the tree which is 9 ft of height.
Child is 13 feet away so we have to calculate the angle of elevation from child to the top of the tree.
Let the angle of elevation is ∅ then
tan ∅ = [tex]\frac{9}{13}[/tex]
∅ = [tex]tan^{-1}(\frac{9}{13})[/tex]
∅ = [tex]tan^{-1}(0.6923)[/tex]
∅ = 34.69° ≅ 35°
Therefore the angle of elevation is 35°
