Question

Can someone check my answers

Answer 1

@triciaal can you check my answers to see if there are right

Answer 2

?

Answer 3

ok

Answer 4

An observer (O) spots a bird flying at a 35° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 21,000 ft., how far is the bird (B) from its nest (N)?

Answer 5

A) 12,045 feet

B) 14,704 feet

C) 16,980 feet

D) 17,202 feet <--- My answer

Answer 6

pythagorean theorem 21^2- x^2 = on^2
trig cos 35 = x/21 sin 55 = x/21 tan 35 =on/x

Answer 7

cos 35 = D / 21000
D = 17202

Answer 8

thats how i got my answer

Answer 9

@nikato do you think i did it right?

Answer 10

Yes. That's right

Answer 11

yes on method i am looking up the value of cos 35

Answer 12

great :) ok heres a couple more.

Answer 13

An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 ft., how far is the bird (B) from the plane (P)?

Answer 14

A) 3815 feet <--- my answer

B) 5873 feet

C) 8343 feet

D) 10,779 feet

Answer 15

And how did you get that answer?

Answer 16

sin 33 = planes height / distance of plane to bird, So

distance = 7000(sin 33) ≈ 3815 ft (Answer A)

Answer 17

tan 33 = 7000/x
x = 7000/tan 33

Answer 18

I don't think you can go straight to finding x.
I would start by finding the length of the diagonal

Answer 19

Im a bit confused

Answer 20

Ok. For now, just look at triangle OPT. Can you find the length of OP?

Answer 21

wouldn't i have to divide 17000/35

Answer 22

No, why would you do that?

Can't you use sin to find the length of OP, given angle of 33 and the opposite side is 7000

Answer 23

ohh ok

Answer 24

Im kinda confused still

Answer 25

Sorry i was looking at the wrong question

Answer 26

so how would you solve for x?

Answer 27

divide 33/7000?

Answer 28

@nikato the fig does not show x as the hypotenuse was that Rubio101 drawing in the question?

Answer 29

I didn't draw anything

Answer 30

well x is labeled in the fig and that's why I have tan 33 = 7000/x above

Answer 31

Not quite.
You would do
sin(33)= 7000/x

Answer 32

Oh @triciaal I'm just breaking it up into 2 parts so its easier to see

Answer 33

Can one of you help me how to figure out "sin(33)= 7000/x" because thats the part im a bit confused on.

Answer 34

So
sin(33)= 7000/x. Multiply both sides by x
x sin(33)=7000. Divide both sides by sin(33)
x= 7000/ sin(33)