6.1 Law of Sines. Introduction Objective: Solve oblique triangles To solve: you must know the length of one side and the measures of any two other parts.

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Presentation transcript:

6.1 Law of Sines

Introduction Objective: Solve oblique triangles To solve: you must know the length of one side and the measures of any two other parts 1.Two angles and any side (AAS or ASA) 2.Two sides and an angle opposite one of them (SSA) 3.Three sides (SSS) 4.Two sides and the included angle (SAS)

Law of Sines

Example

Because of prevailing winds, a tree grew so that it was learning 6 degrees from the vertical. At a point 30 meters from the tree, the angle of elevation to the top of the tree is 22.5 degrees. Find the height of the tree.

The Ambiguous Case (SSA)

Example