briannac114
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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?

Respuesta :

Nayefx

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

Ver imagen Nayefx

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