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Trigonometry
Question

Brad stands \( 30 \) feet from a tree. He estimate...

Brad stands \( 30 \) feet from a tree. He estimates the angle of elevation from a point on the ground \( 30 \) feet from the tree to the top of the tree to be \( 60 ^ { \circ } \) as shown below. 

Which of the following is closest to the height of the tree? 

Answer

\(tan60 = \frac { opposite} { adjacent} = \frac { treeheight} { distancefromtree} \\ treeheight = tan60\times distancefromtree = 30\sqrt { 3} = 51.9615242 = 52 feet\)

Solution
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