Trigonometry Game (show work, post new problem)

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Matt Markworth
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Trigonometry Game (show work, post new problem)

Post by Matt Markworth » Sat Jan 23, 2016 1:53 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
Matt

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

Post by DAKennedy » Sat Jan 23, 2016 3:35 pm

X = 180' / SIN(60.0) = 207.8'
Solve for Y.
Solve for Y.
That was fun.

- Duncan
Duncan Kennedy
Student, University of Nevada - Reno; Biotech dept.
Tree Measurer.
http://sierracountybigtrees.wordpress.com/

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

Post by dbhguru » Sat Jan 23, 2016 6:03 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 1313 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
Robert T. Leverett
Co-founder, Native Native Tree Society
Co-founder and President
Friends of Mohawk Trail State Forest
Co-founder, National Cadre

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

Post by Rand » Sat Jan 23, 2016 7:42 pm

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

https://www.youtube.com/watch?v=3hIsJwyc3SY

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Matt Markworth
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Re: Trigonometry Game (show work, post new problem)

Post by Matt Markworth » Sat Jan 23, 2016 8:27 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 1295 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
Matt

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Matt Markworth
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Re: Trigonometry Game (show work, post new problem)

Post by Matt Markworth » Sun Jan 24, 2016 9:34 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
Matt

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

Post by dbhguru » Sun Jan 24, 2016 10:16 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
Robert T. Leverett
Co-founder, Native Native Tree Society
Co-founder and President
Friends of Mohawk Trail State Forest
Co-founder, National Cadre

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Will Blozan
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Re: Trigonometry Game (show work, post new problem)

Post by Will Blozan » Mon Jan 25, 2016 9:28 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!

Will

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