Question

a person who is 5 feet tall is standing 130 feet from the base of a tree, and the tree casts 143 foot shadow. the persons shadow is 13 fee in length. what is the height of the tree?

Answer 1

\[\tan \Theta = \frac{ opposite }{ adjacent } \]
so
\[\Theta = \tan^{-1} \frac{ 5 }{ 13 } = 21.0375\]
\[143 * \tan(21.0375) = 55\]