T2.2a To Solve Right Triangle Story Problems Hell’s Library Please pick up a handout from the table by the front door. Got ID?

Opening Activity: Open your notebook to a clean sheet of paper. Copy & fill in the blanks: sin Ө = ______ cos Ө = ______ tan Ө = ______

Let’s look at: Sermons Rule Of Slides

* (LESSON—Start writing, two minutes to copy it!) Working Story Problems: Read the problem at least 3 times. Draw it and label the given information! Ask yourself: What do I have? What do I want? How are they related to the angle? (Opposite? Adjacent? Hypotenuse?) Estimate an answer. Do not be afraid to try something. Is your answer reasonable? Look at the question and make sure you answered it. You must have a SENTENCE ANSWER. *

Ex: Sandy is standing 123 ft. from the base of a flagpole. Her eyes are 5 ft. above the ground. ??? If the angle of elevation from her eyes to the top is 26°, what is the height of the flagpole? (Whole number.) We are now going to apply the functions that we have been working with since we started this chapter. What do we have? How does her eye height affect the problem? What do we want? 26 ° How are they related? x Opposite Angle Adjacent 5 ft 5 ft 123 ft Now, are we finished?

Story problems must have sentence answers: x 26 ° 123 ft 5 ft Story problems must have sentence answers: The height of the flagpole is 65 ft. We will be working on a group project, similar to this. So we will be applying this technique in the future.

Try: A radio tower is to be anchored by a guy wire Try: A radio tower is to be anchored by a guy wire. If the anchors are 156 ft from the center of the base of the tower, and the angle of elevation from the anchor to the top is 43°, how much guy wire will be needed (one decimal place)? guy wire 156 ft 43° (Use the Sermons Rule of Slides!) x Hypotenuse It needs 213.3 ft of wire. Angle Adjacent (Anchor)

How are 57 ft. and 38 ft related to Ө? Try: A building is 57 ft. tall and the length of its shadow is 38 ft. Find the angle of elevation of the sun. (1 dec. pl.) What do we know? What do we want? How are 57 ft. and 38 ft related to Ө? “Arc it!” Janie Hooper, Class of 2015 57 ft. Ө The angle of elevation of the sun is 56.3° 38 ft.

* TO RECAP: Set up for EVERY problem: Examples (DO NOT PUT ON YOUR CARD!) * Also, DO NOT ROUND DURING A PROBLEM. If you have 42° 10’, put sin(42 + 10/60) in the calculator!

Instructions: (Assignment is on the following page.) Work on the assignment in your group. You will get a group grade for working together. Everyone works on the same problem together. In other words, do not go on until everyone in the group has done and understands the problem. Are they supposed to copy your work? Nooooooo! Help each other and explain how to do it. Your evaluation for this lesson will be based on that. If you go on and leave the others, your personal grade for the day will be lowered. Finish for homework.

Active Learning Assignment: Handout: 27, 29 – 32 (Sentence Answers) 29. 52.6° 30. 118.6 m. 31. 19.5 ft. 32. 35.8° & 54.2° WOW: The expert in anything was once a beginner.