Class Work (6-17) Name: _________________Trigonometry Class of 2016 5/

AIM: How can we find a missing angle using trigonometric ratios?

DO NOW!!! - How does math relate to the images shown below? Use at least 3 vocabulary words in your answer.

Warm up: How was math used to figure out stuff back in the day? Read on!!

One of the most ambitious mapmaking efforts of all time was the Great Trigonometric Survey of India, which

required several expeditions and took over a century to complete. The famous expedition of 1823, led by Sir

George Everest, lasted 20 years. Ranging over treacherous terrain and encountering the dreaded malaria-

carrying mosquitoes, this expedition reached the foothills of the Himalayas. A later expedition, using

triangulation, calculated the height of the highest peak of the Himalayas to be 29,002 ft. The peak was named

in honor of Sir George Everest. Today with the use of satellites the height of Mount Everest is estimated to be

29,028 feet. The very close agreement of these two estimates shows the great accuracy of the trigonometric

method.

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FIND THE HEIGHT Project

Description: Find the height of our classroom using Trig! Below is a picture of the classroom wall and you. Draw a diagram that will help you find the height. Your only tools will be the clinometer app and a tape measure.

Part I: Sketch out your plan in the space below. Include the lengths and angles you will measure in order, what tools you will use and when, and what trig ratios you will use to solve the problem. Part II: Show your plan to your teacher to get approved to take measurements

Wall the Math Classroom

PLAN:Step 1-

Step 2-

Step 3-

Show all work below:

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The height of the classroom is…..WRITE UP!! Now write up your results in a short paper. It should not be longer than 3 pages handwritten (most papers will be 2 pages.) It should contain an introduction, process, analysis and conclusion.

Intro: What are we studying? What is this project about?

Process: What steps did you take to complete the project? What diagrams did you use? What math did you do?

Analysis: What was the solution to the problem? What does your solution mean in real life?

Conclusion: Reflect on problem solving. What did you learn? What habits of mind did you use?

Guide: Here is an example of an introduction and a conclusion for this project. Fred and Shannon didn’t write them! They are from a real student who is studying trigonometry. Please use these as a guide to writing your intro and conclusion

Example of Introduction:

Example of Conclusion:

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Homework -- Finish Find the Height project write-up if you have not already done so. Your write up should be typed or handwritten and should be 1-3 pages.

EXTRA CREDIT PARTNER WORK!

1. Your diagram accurately represents given the information given in the problem. 2. Your calculations make sense given your diagram. 3. All your work is clear and organized. 4. Your work shows understanding of the problem.

1. You are standing 45 m from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. If the total height of the building is another 123 m above the 86th floor, what is the approximate height of the building?

2. From the top of a 200 ft lighthouse, the angle of depression (the angle looking down at the ship from the top of the lighthouse) to a ship in the ocean is 23 o. How far is the ship from the base of the lighthouse?

3. An engineer stands 50 feet away from a building and sights the top of the building with a surveying device mounted on a tripod. If the surveying device is 5 feet above the ground and the angle of elevation is 50 o, how tall is the building?

4. Suppose you’re flying a kite, and it gets caught at the top of the tree. You’ve let out all 100 feet of string for the kite, and the angle that the string makes with the ground is 75 degrees. Instead of worrying about how to get your kite back, you wonder. “How tall is that tree?”

5. A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the ground below with a ladder. When the knight stands 15 feet from the base of the tower and looks up at his precious damsel, the angle of elevation to her window is 60 degrees. How long does the ladder have to be?

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