• Support PF! Buy your school textbooks, materials and every day products Here!

Trigonometric function of x

  • #1
The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizontal distance, in miles, of the jet from the house, express d in terms of a trigonometric function of x. The graph the function for 0< x <pi.
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618
Did you draw a right triangle involving x, d and 2 miles? That's a good place to start.
 
  • #3
yes I did, now what?
 
  • #4
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,535
751
From your triangle with d, x, and 2 labeled can you think of a trig function that involves them?
 
  • #5
no, thats why I am asking...
 
  • #6
ok, this is what I need to figure out. tan x=opp/adj = ?/?
 
  • #7
Dick
Science Advisor
Homework Helper
26,258
618
ok, this is what I need to figure out. tan x=opp/adj = ?/?
Very much so. Skip the last = ?/?. Just substitute the values for opp and adj.
 
  • #8
well if I knew what they were I could..lol
 
  • #9
maybe this graph will help..
 

Attachments

  • #10
Dick
Science Advisor
Homework Helper
26,258
618
well if I knew what they were I could..lol
I'm starting to feel helpless here. You drew the picture, right? It should be right in front of you. Which is the adjacent side and which is the opposite side to the angle x?
 
  • #11
Dick
Science Advisor
Homework Helper
26,258
618
maybe this graph will help..
How can you not know with such a gorgeous picture to help? Which leg is opposite the angle x and which is adjacent?
 
  • #12
the 2 mile side would be the opposite and the other would be the adjacent side.
 
  • #13
I have never done this before, so that is why I am lost...No I didnt draw the picture. It is supposed to help me.
 
  • #14
Dick
Science Advisor
Homework Helper
26,258
618
the 2 mile side would be the opposite and the other would be the adjacent side.
Yes, so tan(x)=... just fill it in.
 
  • #15
tan(x)=2/? Grrrrrr
 
  • #16
Dick
Science Advisor
Homework Helper
26,258
618
the 2 mile side would be the opposite and the other would be the adjacent side.
No offense, but this is getting to be like pulling teeth. The 'other' i.e. the 'adjacent side' is clearly labelled in your picture. It has a letter on it.
 
  • #17
tax(x)=2/d
 
  • #18
I do understand your frustration with me, just think how I feel.. :(
 
  • #19
I was wondering why do I need to forget the ?/?....
 
  • #20
Dick
Science Advisor
Homework Helper
26,258
618
I was wondering why do I need to forget the ?/?....
I just meant you should fill in the ??'s. tan(x)=2/d is exactly what you want. You are basically done. Now just solve for d.
 
  • #21
I truly don't know how to solve for d. I must sound pretty stupid, huh?
 
  • #22
ok wait, is it d=2cot(x) ?
 
  • #23
oops, I mean 2/tan(x)
 
  • #24
Dick
Science Advisor
Homework Helper
26,258
618
ok wait, is it d=2cot(x) ?
Sure. That's more than brilliant. I was hoping for just d=2/tan(x). But that's the same if not better.
 
  • #25
Dick
Science Advisor
Homework Helper
26,258
618

Related Threads on Trigonometric function of x

  • Last Post
Replies
17
Views
1K
Replies
2
Views
1K
  • Last Post
Replies
9
Views
4K
  • Last Post
Replies
2
Views
1K
Replies
5
Views
552
Replies
3
Views
4K
Replies
10
Views
2K
  • Last Post
Replies
2
Views
1K
Replies
12
Views
1K
Top