Question

a zoologist hides in a bush 200 feet away from a tree inhabited by a family of monkeys. if the zoologist is looking up at an angle.of 15°, how high in the tree ate monkeys?

Answer 1

Answer:

$\displaystyle 53.6ft$

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

$\displaystyle \tan( {15}^{ \circ} ) = \frac{h}{200}$

cross multiplication:

$\displaystyle h = 200\tan( {15}^{ \circ} )$

by using calculator we acquire:

$\displaystyle h \approx 53.6ft$

hence,

about 53.6ft high in the tree ate monkeys