1. Do Now  Take your assigned graphing calculator  Solve for x.

2. Reminders/Announcements  Project due Wednesday 2/18  You have one hour today and one hour Tuesday to work on it  12.2 Worksheet due Wednesday 2/18  Tutoring this Friday instead of next Tuesday  One more opportunity to retake the similarity quiz this Friday

3. 12.1 Questions?

4. Problem Solving with Right Triangles

5. Today’s Objectives  Use trigonometry to solve applied problems.  Apply inverse trigonometry.  Use problem solving skills.

6. Angles  Angle of elevation—the angle from the horizontal to your line of sight when you look up.  Angle of depression—the angle from the horizontal to your line of sight when you look down.

7. Example  The angle of elevation from a sailboat to the top of a 121-foot lighthouse on the shore measures 16 o. How far is the sailboat from the lighthouse?

8. Practice  Valery is flying a kite directly over her friend Fernando, who is 125 meters away. When she holds the kite string down to the ground, the string makes a 39 o angle with the level ground. How high is Valery’s kite?

9. Practice

10. Today’s Objectives  Use trigonometry to solve applied problems.  Apply inverse trigonometry.  Use problem solving skills.

11. Exit Slip  For the following problems, show your work and explain your reasoning. 1. Solve for a. 2. The angle of elevation from a ship to the top of a 42-meter lighthouse on the shore measures 33 o. How far is the ship from the lighthouse? (Assume the horizontal line of sight meets the bottom of the lighthouse.) a 17 cm 32 0