Answer:
[tex] \displaystyle 53.6ft[/tex]
Step-by-step explanation:
refer the attachment
let the height be h
since we are given the adjacent side and want to figure out opposite side we'll use tan function
so our equation is
[tex] \displaystyle \tan( {15}^{ \circ} ) = \frac{h}{200} [/tex]
cross multiplication:
[tex] \displaystyle h = 200\tan( {15}^{ \circ} ) [/tex]
by using calculator we acquire:
[tex] \displaystyle h \approx 53.6ft[/tex]
hence,
about 53.6ft high in the tree ate monkeys
