1. Warm UpFeb. 22 nd 1.A 100-foot line is attached to a kite. When the kite has pulled the line taut, the angle of elevation to the kite is 50°. Find the height of the kite. 2.At a point 200 feet from the base of a building, the angle of elevation to the bottom of a smokestack on top of the building is 35° and the angle of elevation to the top is 53°. Find the height of just the smoke stack.

2. Homework Questions??

3. Law of Sines ~ Day 1 Develop and understand the Law of Sines. Use it to solve oblique triangles and applications.

4. Oblique Triangles Triangles without a right angle. To solve any oblique triangle, you need to know at least ONE SIDE and any two other parts. ▫ 2 angles, 1 side (ASA or AAS) ▫ 2 sides, angle opposite one of them (SSA) ▫ 3 sides (SSS) ▫ 2 sides and the included angle (SAS)

5. Law of Sines

6. Examples Solve the triangle: A = 23 o, B = 72 o, c = 6.1

7. Examples (cont.) Solve the triangle: A = 35 o, B = 100 o, a = 8

8. You Try! 1.Solve the triangle: A = 10 o, B = 60 o, a = 4.5 2.Solve the triangle: A = 59 o, C = 47 o, b = 100

9. The Ambiguous Case If you are given 2 sides and a non-included angle (SSA), there are several possibilities. The length of that opposite side matters! Before we draw it, look at the height… 4 possibilities if A is acute: a b

10. The Ambiguous Case (cont.) 2 possibilities if A is obtuse: a b

11. Examples State how many triangles exist for the following (0, 1, or 2) a)A = 58 o, a = 4.5, b = 12.8 b)B = 58 o, b = 11.4, c = 12.8 c)C = 110 o, c = 125, a = 100

12. Examples (cont.) Solve the triangle: A = 42 o, b = 12, a = 22

13. Applications Homework Problem Revisited: #34Two fire towers are 30 kilometers apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearing from A are B are E14°N and W34°N, respectively. Find the distance d of the fire from the line segment AB

14. Homework Textbook page 484 ▫ #1 – 18, 25 and 26