Copy - Legend of the Sohcahtoa (Unit 5: Trigonometric Functions)

I am Dr. John Archamedes! Yes, *THE* Dr. John Archamedes! I trace my lineage all the way back to my great great great great great great great grandfather, the Greek mathematician who was central to discoveries in trigonometry. I believe my ancestor made many of his discoveries based on observation of a mythical beast known as the Sohcahtoa! No one has seen these legendary beasts for centuries, but I've been doing a lot of research on internet forums and I believe I've tracked the elusive beasts to this very jungle! Help me find a Sohcahtoa and we'll be famous! Come along, intern!

It's commonly known that the Sohcahtoa has very distinctive tracks that look just like right triangles! I believe we may have stumbled across an entire herd of these majestic beasts! We can track them based on the size of each beast's tracks!

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I've started to record the lengths of the tracks we came across, but I'll need you to finish it out for me! As you find the missing lengths, record your answers and use them to move on to the next part of our adventure!

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Excellent work, Intern! This discovery may be the largest in the history of cryptozoology! If I'm going to share any credit for this discovery with my intern, I need to know that you're reliable and detail-oriented!

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I think the Sohcahtoa may be toying with us. I've discovered a few more tracks. Find the value of the trigonometric ratio for the indicated angle on each of these tracks.

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Next, we need to figure out which direction the beasts headed! It's a well known fact that the opposite and adjacent angles of the Sohcahtoa tracks can be used to determine the direction the beasts are traveling!

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I've discovered some additional tracks, see if you can determine the measure of the angles to the nearest degree so that we can continue tracking the beasts!

Nicely done, Intern! I think we've almost tracked them down! But my discerning eye tells me that these tracks here look like they're from an entirely new subspecies of Sohcahtoa! I've never seen tracks so beautiful!

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I tell you what, find the missing side lengths for these tracks and perhaps we can name the new species after both of us! Genus Species Sohcahtoa Archmides-Internus!

Thanks to our hard work, we've all but found the beast now! Did you hear that noise? The majestic call of the Sohcahtoa is very distinct! We're so close I can almost feel it!

Intern! Keep your voice down! You'll frighten the beast! I think if we could just get that same bird's eye view we could spot the distinctive coloring of the Sohcahtoa! Wait, I've an idea!

I'll fly my I <3 Trigonometry Kite with this camera up to find them! At what angle of elevation must this 36 ft kite string be flown to reach a vertical height of 25 feet above the ground?

We've found it! I'm going to win a Nobel Prize! I'll be rich! Even better, I bet I can become an Instagram influencer! Huzzah!

I'd like to thank the academy for this award, but I would be remiss if I didn't also thank my intern for all their hard work. With that in mind, I'd like to welcome everyone to come and give a treat to my new pet Sohcahtoa! Thank you!