Question

A bird (B) is spotted flying 900 feet from an observer. The observer (O) also spots the top of a tower (T) at a height of 200 feet. What is the angle of depression from the bird (B) to the observer (O)?
a. 12.52°

b. 12.84°

c. 77.16°

d. 83.69°

Answer 1

hey

Answer 2

hi

Answer 3

@mathmale

Answer 4

so u dont want me to help? lol

Answer 5

Well you have 2 sides and 1 angle...from that angle you have the opposite side....and you have the hypotenuse...and you want to know the angle...

so what trig function uses opposite and hypotenuse?

Answer 6

if you know the answer then help. idc who helps. i just need the help

Answer 7

okay sorry

Answer 8

cosine?

Answer 9

Not quite

\[\sin\theta = \frac{Opposite}{Hypotenuse}\]

Okay?

Answer 10

ok

Answer 11

So since you have those 2 side lengths....and you want to know the angle you have

\[\large \sin\theta = \frac{200}{900}\]

And since you want to know theta (the angle) you do the inverse sine of this...

\[\large \theta = \sin^{-1} (\frac{200}{900})\]

And that will be your answer

Answer 12

so do i divide that or..

Answer 13

Yeah, you would divide 200 by 900 first...

Then (using your calculator or google maybe) do the inverse sin of that decimal you get

Answer 14

ok. 200/900=.2 repeating

Answer 15

so the answer is like 12.83

Answer 16

is that 1 of the choices?

Answer 17

@keana Right...

Answer 18

ok. i got 12.83958841

Answer 19

so is it b?

Answer 20

yes

Answer 21

And there's you answer :)

Answer 22

thanks @johnweldon1993

Answer 23

Anytime @keana :)