Answer:
28.3 feet
Step-by-step explanation:
Given a tree 41.8 feet tall casts a shadow that is 27 feet long
So the Tangent of the angle of the sahdow remains the same for the both trees.
We know that [tex]Tanx=\frac{height of the tree}{length of the shadow}[/tex]
[tex]\frac{height of the tree1}{length of the shadow1} = \frac{height of the tree2}{length of the shadow2}[/tex]
[tex]\frac{41.8}{27} =\frac{x}{18.3}[/tex]
[tex]x=\frac{41.8}{27}\times18.3 =28.3[/tex]
Therefore the height of the tree is 28.3 feet
