As shown below, an observer (O) is located 400 feet from a building (B). The observer notices a kite (K) flying at a 29° angle of elevation from his line of sight. What equation and trigonometric function can be used to solve for the height (h) of the kite? What is the height of the kite? You must show all work and calculations to receive full credit.

- anonymous

- katieb

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- anonymous

##### 1 Attachment

- MrNood

if oyu look at angle O - how would you name the side h with respect to O
would it be
Opposite
Adjacent or
Hypotenuse?
how would you name the side 400 with respect to O
would it be
Opposite
Adjacent or
Hypotenuse?

- anonymous

is it adjacent @MrNood

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- MrNood

look at the diagram
is h opposite or adjacent to O

- anonymous

so is o an angle? h is like a side, so I'm guessing it can't be opposites like they're not opposite angles so I'm gonna go w adjacent

- anonymous

- MrNood

OK
you are evidently studying triangles and the functions sin cos and tan
you need to be able to identify the sides of a triangle opposite, adjacent and hypotenuse, with respect to a given angle.
This is a basic requirement of doing these functions.
Go back to your text or notes and find out how ot identify the sides
THEN come back to this question

- anonymous

okay nvm i know this!!
don't leave me now i need help w this question.. ):

- anonymous

##### 1 Attachment

- anonymous

so h is opposite

- anonymous

- MrNood

ok
and the 400 side is?

- anonymous

adjacent

- MrNood

OK
GOOD
So which of the 3 functions uses opposite and adjacent?
and what is the formula using them?

- anonymous

tangent = opposite/adjacent

- MrNood

ok
so write an equation with
tan29
h
400
in it

- anonymous

@MrNood ok mister

- anonymous

tan29=h/400

- anonymous

totally misread your reply i thought you said "so I'm gonna write an equation.."
sorry for taking so long

- MrNood

excellent
so use your calculator to work out h

- anonymous

i keep getting a really big number i don't think its correct @MrNood

- MrNood

so you were correct
tan29 = h/400
so multiply each side by 400
what is tan(29)?

- anonymous

0.88 is what i got for tan29

- anonymous

idk that sounds off

- MrNood

OK - you have made a mistake with your calculator
We have 29 degrees
your calculator is set to 'radians' mode

- anonymous

yes!

- anonymous

##### 1 Attachment

- MrNood

you need to find tan 29 deg

- anonymous

0.55

- anonymous

is that right

- MrNood

so your equation is now
0.55 = h/400
so what is h?

- anonymous

yay!!
ok its gonna come out to
h=220

- MrNood

OK - well done
but you rounded to 0.55
is that accurate enough?

- anonymous

thats fine! thank you very much!

- MrNood

So -
you started out hoping for th eanswer, and maybe thinking oyu didn't know how to do it
but you DID the work!

- anonymous

oh no i wanted to learn how to work it out! Its no fun when its just the answer <:

- anonymous

thanks for helping me w that, I'm like terrible at remembering things like i read the question and i was like omg what is this even
I know how to do this is just needed a little remembering (:

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