8.1 Altitudes of Right Triangles: The altitude to the hypotenuse of a right triangle forms two triangles that are congruent to each other and to the other triangle.
Example: Write a similarity statement comparing the three triangles.
8.2 SohCahToa
Example:
8.3 sin^-1 , cos^-1 , tan^-1
8.4 Elevation: Angle above the horizontal Depression: Angle below the horizontal
Example: From the top of a canyon, the angle of depression to the far side of the river is 58 degrees, and the angle of depression to the near side of the river is 74 degrees. The depth of the canyon is 191 m. What is the width of the river at the bottom of the canyon? Round to the nearest tenth of a meter.
8.5 Law of Sines: Can be used with AAS, ASA, and SAA. ASS and SSA can create the ambiguous case.
Law of Cosines: Can be used with SAS and SSS.
Example of Law of Sines: Find each measure. Round lengths to the nearest tenth and angle measures to the nearest degree.
Example of Law of Cosines: Find each measure. Round lengths to the nearest tenth and angle measures to the nearest degree.