Trigonometry Game (show work, post new problem)

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#1)  Trigonometry Game (show work, post new problem)

Postby Matt Markworth » Sat Jan 23, 2016 2:53 pm

NTS,

It's always good to brush up on various skill sets, so please join me in a "game" of Trigonometry.

The game has two rules:

1) Show your work when solving the existing problem.

2) Include a new problem for someone else to solve.

I will get the ball rolling with this problem:

               
                       
trig problem 1.png
                                       
               


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#2)  Re: Trigonometry Game (show work, post new problem)

Postby DAKennedy » Sat Jan 23, 2016 4:35 pm

X = 180' / SIN(60.0) = 207.8'

               
                       
What'stheAngle.png
                       
Solve for Y.
               
               


That was fun.

- Duncan
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Young Tree Measurer.
http://sierracountybigtrees.wordpress.com/

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#3)  Re: Trigonometry Game (show work, post new problem)

Postby dbhguru » Sat Jan 23, 2016 7:03 pm

Matt,

  Great idea! This is a first and could be the start of a really cool thread. Duncan, good job on the first problem.

  Here is a problem that calls for solving for the angles of a triangle when the lengths of the sides are known. As a hint, think law of cosines.

               
                       
Trig Problme #2.png
                                               
Trig Problme #2.png (28.59 KiB) Viewed 846 times
               
               


  There are practical applications that call for determining an angle of a plane triangle when the sides are known. Let's first see the solution.  

  Bob
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#4)  Re: Trigonometry Game (show work, post new problem)

Postby Rand » Sat Jan 23, 2016 8:42 pm

Matt,Matt,Matt,Matt----Don't poke the dragon...

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#5)  Re: Trigonometry Game (show work, post new problem)

Postby Matt Markworth » Sat Jan 23, 2016 9:27 pm

Rand,

Funny! In a couple days I'll probably be buying a trigonometry textbook to keep up:)

Duncan,

Good one! It's been awhile since I've used arcsine. Here's my solution:

               
                       
trig problem 2.jpg
                                       
               



I'll let Bob's problem be the next one up to be solved:

dbhguru wrote:Matt,

  Great idea! This is a first and could be the start of a really cool thread. Duncan, good job on the first problem.

  Here is a problem that calls for solving for the angles of a triangle when the lengths of the sides are known. As a hint, think law of cosines.

               
                       
Trig Problme %232.png
                                               
Trig Problme %232.png (28.59 KiB) Viewed 828 times
               
               


  There are practical applications that call for determining an angle of a plane triangle when the sides are known. Let's first see the solution.  

  Bob


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#6)  Re: Trigonometry Game (show work, post new problem)

Postby Matt Markworth » Sun Jan 24, 2016 10:34 am

Bob,

Good problem! Here are my solutions:

               
                       
angle a.jpg
                                       
               


               
                       
angle b.jpg
                                       
               


               
                       
angle c.jpg
                                       
               


I'd like to learn more about the practical applications of the Law of Cosines, so I'll start a new thread devoted to that topic.

Here is the next problem:

               
                       
tree branch problem.jpg
                                       
               


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#7)  Re: Trigonometry Game (show work, post new problem)

Postby dbhguru » Sun Jan 24, 2016 11:16 am

Matt,

 Excellent. Hopefully, everyone recognizes the algebra used to isolate the unknown in a formula with multiple variables.

 In terms of these problems, I won't present solutions since I think everyone understands that I live and breath this stuff.  I'll limit myself  to observations and comments, and practical examples from time to time.

Bob
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#8)  Re: Trigonometry Game (show work, post new problem)

Postby Will Blozan » Mon Jan 25, 2016 10:28 am

Seriously guys- this is what the TP 360 is for!

Just kidding- these are great real-life, applicable scenarios that under-pin the basis of what we do. Great to see it illustrated!

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