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anonymous
 one year ago
Please Help with this Trig Question.. 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)? Round to the nearest whole number.
anonymous
 one year ago
Please Help with this Trig Question.. 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)? Round to the nearest whole number.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1435695652832:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, think about it  what trigonometric function do you know that can possibly use an angle and the OPPOSING side of that angle to tell you more about the hypotenuse in a rightangled triangle ? Make a guess.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Pythagorean theorem?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not a bad idea, but to apply it means you'd have to know what the length of the other side is too, right ? Unfortunately, that you do not know. You have to use the angle and the opposing side only.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you explain in layman's terms im not grasping what you are saying. The lesson the teacher provided was terrible. I dont know this things.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you explain in layman's terms im not grasping what you are saying. The lesson the teacher provided was terrible. I dont know this things.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright. The basic trigonometric functions are sine, cosine, tan and cot. They are quite useful once you understand them because they have all sorts of interesting properties to them. Only  and only  in right angled triangles, they are defined so: 1) The sine of an angle = the opposing side of the angle / the hypotenuse 2) The cosine of an angle = the other side (nonopposing one) / the hypotenuse 3) The tangent of an angle = the opposing side of the angle / the other side of the angle 4) The cotangent of an angle = the other side of the angle / the opposing side of the angle Also, keep in mind that in math it is considered that if an angle is know then all of its trigonometric functions are also known. In other words, if you know that the angle is 55 degrees that means it is considered KNOWN what sine, cosine, tan and cotan of 55 degrees is. You can just pick up a calculator and plug it in yourself. There are also some key properties that link these 4 trigonometric functions all together: 1) sin(x) ^2 + cos(x)^2=1 2) tan(x)= sin(x)/cos(x) 3) cot(x)=cos(x)/sin(x) and so forth. For now we need only to focus on the first half of this.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay let me see if I can process all of this AFTER I understand what we're doing here lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's really all there is to it for now. You have the angle so you clearly know what sine,cosine,tan and cotan of that angle is (you will have to use a calculator for them)  all you need to do now is to look at the problem and figure out which of these trigonometric functions would be of use to you.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay Im trying to understand but Im still at point blank

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright, here they also give you the opposing side of the angle of 55 degrees  that should instantly tell you that you should be using sine. Recall how sine is defined in a right angled triangle: sine= opposing side / hypotenuse So here, sine(55)= the opposing side (which here is 15 000 ft) / the hypotenuse (which here is the distance between the bird and the nest)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay. Im not sure what to say but okay..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Therefore, the hypotenuse = 15 000 ft / sin (55) and that's your answer  all you need to do is pick up a calculator and do sin(55) and then do that division.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Are serious thats all?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Once you get it it becomes trivial.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0My teacher made it so complex XD I need to switch to your class if you were a teacher

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Haha, thank you. Well, it can get pretty complex to be honest, but it's pointless to get into that if you haven't mastered the basics first.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The hardest part would be to make that drawing. I hate it when problems have too many words in them.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yea Same it gets really confusing.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Here's a different example dw:1435696718745:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got 18311.61883 but thats not one of my choices

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Here for example you can't you sine because you don't know what the opposing side of the angle is  but you know what the length of the other side is so you use cosine. cos(30) = 10 / x so x = 10/ cos(30)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Angus I got 18311.61883 but thats not one of my choices

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That surely means I must've drawn the thing wrong. It's the text that kills me, not the math.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hold on let me upload this image

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright, that would be best.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, well that changes things a bit.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0My mistake for not uploading it earlier, I'm sorry lol.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, now they give you the angle and the hypotenuse and they're asking for the other side (nonopposing one) to the angle. Any ideas on what trigonometric function you should be using ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Refer to the long text above.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hmm, isnt cos the reverse of sine, so would it be cos?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Long answer: Well, you nailed it  but keep in mind that sine is not the exact reverse of cos  the inverse function of cos bears the name of arccos and it's a different business. But yeah, in a sense you could call it that way since it's defined as the other side / the hypotenuse instead of the opposing side / the hypotenuse. Short answer: yes.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now, we have: cos(55) = x / 15 000 ft Therefore x= cos(55) * 15 000

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much let me check this out.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It comes out to 8603.646545, but rounded to the nearest whole number would be 8604; that would be correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Good job ! The exercises will test your ability to identify which proper function you should use  tan and cotan might be confusing at first but they're pretty much the same thing. Yes  if rounded to the nearest whole number. Angles tend to have long nonrepeating digits when you apply trigonometric functions to them unless they're nice values (30,45,60,90,180 so forth).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If I need you help again do I just @AngusV ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For instance, sin(30) is 1/2 basically. What that tells you is that no matter how big your triangle / roof / whatever is, if you make a 30 degrees angle like this dw:1435697604538:dw The opposing side to that angle will always be HALF of the hypotenuse.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sure thing if you catch me around. I have to go for now but yeah, no problem.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1435697676956:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That art deserves recognition lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0See ya around Angus!
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