Introduction
This is designed for 9th and 10th grade geometry students. They will be finding the heights of different landmarks, and the angle of elevation, along with the distance between the land mark and themselves using basic trig ratios (sine, cosine, and tangent). With this they can utilize basic trig ratios in real world situations that they may never actually experience. 
Task
WHO'S READY TO TRAVEL?
Choose five (10 if working in groups of 2) landmarks around the world for your dream math get away.
In your present situation you are only permitted to come within 25 meters of the base of that particular landmark.
Create postcards that explicitly express each landmark, the angle of elevation you would have to use to look at the top of the object, and the distance from your eyes to the top of the object.
Now buckle your seatbelt and get ready for take off! Safe travels!
Process
Before we start here's a quick video on solving basic trig functions.
With your partener or on your own, choose 5 landmarks you would like to visit and create a post card (can be just a rectangular piece of paper) with each location and landmark clearly stated.
Research the height of each landmark and make your triangles!! (Your structure can be represented by a leg of the triangle, I don't expect a Picaso)
Using your prior knowledge of sine, cosine, tangent, and their inverses, find the angle of elevation you would need to use to look at the very top of each landmark and the distance between you and the top (represented by the hypotenuse).
*Make sure you explain each step as you do it! (If you want to have a key on the side of how to solve sine,cosine,or tangent step by step that is fine)*
Now be creative!!!!! Create a poster of your postcards.
Finally, decorate your poster and be ready to present your mathematical fun trippy trig trip to the class!
When you're done, complete the following:
http://www.ixl.com/math/geometry/trigonometric-ratios-sin-cos-and-tan
http://www.thatquiz.org/tq/practicetest?jx2cpepx7gkf
http://www.regentsprep.org/regents/math/algebra/AT2/PracTrig.htm
•Be sure to SHOW YOUR WORK!!!•
Evaluation
Although the rubric seems lenient and easy, you will be graded IN DETAIL and your work will be checked thoroughly. If work is not shown, you will get a 0 for demonstrated knowlege and a 2 for Requirements.
Conclusion
Although seemingly useless, trig ratios have many real world applications. The knowledge practiced in this lesson will efficiently fine tune your abilities to properly solve basic trigometric ratios using your ability to identify and label each side and angle, soh-cah-toa. There are countless possibilities for applying this to the real world. I can only hope that this lesson helped emphasize its purpose.
Credits
A Bit About Me
My name is Adrienne, and I'm a 9th grade geometry student. Of all the topics covered this year, trig ratios have proven to be the most challenging but also the easiest to catch on to. Also, trig ratios are one of the topics that are harder to apply to a real world aspect and make it fun. That's why I chose it as my webquest topic.