Question

can someone help me please?

Answer 1

An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 15,000 ft., how far is the bird (B) from its nest (N)?

Answer 2

Ah, okay. This involves some trigonometry. Before I can help you, by chance, do you have a scientific/graphing calculator or a calculator that can calculate sine, cosine, and tangent?

Answer 3

yes i do

Answer 4

Alrighty. Gimme a sec~

Answer 5

ok

Answer 6

Alright, back.

Answer 7

So by looking on your diagram, you have a right triangle, correct?

Answer 8

yes

Answer 9

If you have a right triangle, then you can use trigonometric ratios. Do you know what sine, cosine, and tangent mean?

Answer 10

yes and i know sin angle = opposite/hypotenuse
cos angle = adjacent / hypotenuse
tan angle = opposite / adjacent

Answer 11

Great :D
So, you're given an angle of 55 degrees. You have 15,000 as a value for your hypotenuse, and x for one side (This side is adjacent, since it's not opposite the 55 degree angle). Do you follow?

Answer 12

yes

Answer 13

Great. So you have to figure out the value of the adjacent side. What trigonometric ratio gives you adjacent over hypotenuse?

Answer 14

the cos

Answer 15

Nice! So you have a basic equation here:
cos 55 degrees= x/15000 (adjacent over hypotenuse)

Answer 16

alright now what?

Answer 17

Alright. Treat this as you would a regular equation. You want to isolate x, so you multiply both sides by 15000.

Answer 18

how would i do that>

Answer 19

On your right hand side, you're dealing with a fraction. You want to eliminate that denominator, yes?

Answer 20

8603.64

Answer 21

i got this sin{7pi/36] = x15000?

Answer 22

Woah...Did you follow the steps above? You're way off..
Unless this is a different question?

Answer 23

Pi doesn't have any place in the question...

Answer 24

idk i'm using this calculator and it's on a website so idk if it corrrect i might be doing this wrong but is akshay1234 answer right?

Answer 25

I think your website might have some bugs...
But let me check.

Answer 26

ok

Answer 27

No, not really...

Answer 28

Wait, just kidding. It is right. :)

Answer 29

Oops, forgot to turn the calc to degrees mode.

Answer 30

If you multiply both sides by 15000, you'll get 15000 x cos 55 degrees = x
All you'd have to do is multiply, and there's your answer. :)

Answer 31

do you want the answer choices?

Answer 32

Well, you already have your answer, don't you?

Answer 33

no

Answer 34

20,793 feet

25,636 feet

28,793 feet

36,585 feet

Answer 35

I think your answer choices are way off.

Answer 36

Like reallyyyyy way off. o - o

Answer 37

akshay's answer was right..

Answer 38

ok thnx anyways

Answer 39

No prob. > . <

Answer 40

oh i gave you the wrong picture thats why is it ok if you help me but with the right pic? @anitasonia98

Answer 41

Yeah, of course :D

Answer 42

An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21,000 ft., what is the distance (x) from the plane (P) to the observer (O)?

A right triangle is shown with one angle marked 55 degrees, one side marked x and the height marked 21000 feet.

20,793 feet

25,636 feet

28,793 feet

36,585 feet

Answer 43

Oh, there we go. So...
We have the value of the opposite side (21000) and we have x for the hypotenuse.
Which ratio deals with opposite over hypotenuse?

Answer 44

i pretty sure it's sin right?

Answer 45

Yup, you've got it.
So, we're given an angle measure of 55 degrees.

Your equation would look like this:
sin 55 degrees= 21000/x

Answer 46

You could solve for x. :)

Answer 47

i multiply x in both sides?

Answer 48

Yep! :)

Answer 49

how do i do that ?

Answer 50

You have to get rid of your denominator (X).
sin 55 degrees x X = 21000

Answer 51

so x - 21000 is the answer?

Answer 52

Nope. You have to get X by itself, right?
Divide both sides by sin 55.
x= 21000/sin 55

Answer 53

now what?

Answer 54

i'm sorry but i couldn't understand this cleary and in school my teacher was out so we split up and had to teach it to our self so idk how to do this

Answer 55

Divide 21000 by sin 55, and there's your answer :)

Answer 56

It's cool xP

Answer 57

ok let me do it and you tell me is my answer is correct or not

Answer 58

Kk~

Answer 59

i got 28793

Answer 60

is it correct?

Answer 61

no i actually got 36,585 ft @anitasionia98

Answer 62

@anitasonia98

Answer 63

I got 25636...