Constructing accurate diagrams of word problem- Trig

  • Thread starter opus
  • Start date
  • #1
opus
Gold Member
717
131

Homework Statement


A canoe is floating down a creek. The canoe is first spotted 80 feet away. 7 minutes later the canoe is 45 feet away, making a 40° angle between the two sightings.
How far did the canoe travel?

Homework Equations


Law of Sines and Law of Cosines

The Attempt at a Solution



This question is more in terms of constructing a proper diagram. I have two different drawings, and I'm really just looking for guidance as to which drawing is accurate to the given problem, and why the other isn't. They both seem to represent the problem, but they both don't seem to be saying the same thing.
Please see my attached image. Thank you!
 

Answers and Replies

  • #3
34,686
6,393

Homework Statement


A canoe is floating down a creek. The canoe is first spotted 80 feet away. 7 minutes later the canoe is 45 feet away, making a 40° angle between the two sightings.
How far did the canoe travel?

Homework Equations


Law of Sines and Law of Cosines

The Attempt at a Solution



This question is more in terms of constructing a proper diagram. I have two different drawings, and I'm really just looking for guidance as to which drawing is accurate to the given problem, and why the other isn't. They both seem to represent the problem, but they both don't seem to be saying the same thing.
Please see my attached image. Thank you!
I think your first drawing is more appropriate. The second drawing seems to imply that the observer is on a high bank looking down at the canoe.
 
  • Like
Likes opus
  • #4
symbolipoint
Homework Helper
Education Advisor
Gold Member
6,113
1,159
Mention any details about angle of elevation or depression? None? All done in the same plane. Your upper diagram fits.
 
  • Like
Likes opus
  • #5
opus
Gold Member
717
131
Ok thanks guys. Once I get a drawing going, I can go from there. Making the actual drawing seems to be where the ambiguity is.
 
  • #6
symbolipoint
Homework Helper
Education Advisor
Gold Member
6,113
1,159
Ok thanks guys. Once I get a drawing going, I can go from there. Making the actual drawing seems to be where the ambiguity is.
The description is not really ambiguous. The straightforward interpretation leads to the single triangle shown in the first picture. No mention of angles of elevation nor depression were given. Check again post #3.
 
  • Like
Likes opus
  • #7
opus
Gold Member
717
131
I guess I just need to do more of them. So the second drawing would relate to angle of depression I see.
 
  • #8
symbolipoint
Homework Helper
Education Advisor
Gold Member
6,113
1,159
I guess I just need to do more of them. So the second drawing would relate to angle of depression I see.
BINGO! Right on target! Do MORE exercises; not fewer. Keep up practicing the many exercises, and from different books, for the same topics as you study and with experience you may become familiar with some types of exercises and they become easier to analyze and solve.
 
  • Like
Likes opus
  • #9
opus
Gold Member
717
131
Thanks guys.
 

Related Threads on Constructing accurate diagrams of word problem- Trig

  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
3
Views
12K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
19
Views
5K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
3
Views
2K
Replies
4
Views
6K
Top