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Using the expression for tangent: tan(angle)=opposite/adjacent,

and x to denote the height of the tree,

we have tan(35)=x/24

So x=24*tan(35) = 24*0.4738 = 11.37

So the tree is 11.37 feet tall

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Q: From a point on the ground 24 feet from the base of a tree the angle of elevation of the top of the tree is 35 degrees what is the height of the tree?
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