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8.4 Angles of Elevation and Depression Geometry Objectives • Solve a right triangle. • Use right triangles to find the angles of elevation and depression Angle of elevation: <GEF Angle of depression: <HFE Angle of elevation: <BFT Angle of depression: <ATF Angle of elevation: <KHJ Angle of depression: <IJH Angle of elevation: <RUS Angle of depression: <TSU Angle of elevation: <GEF Angle of depression: <HFE Using Angles of Elevation and Depression Practice Practice 72 80 ft 80 ft 72 Alternate interior angles are congruent Tan 72 = 80/x X = 80/ Tan 72 X = 25.99 Ft Tan A=Opposite/adjacent How Far? Practice 40 ft ? 58 ft Tan X = 40/58 Tan X = 0.6896 X = Tan-1 0.6896 = 35 Practice How Long? 60 7 ft Cos 60 = 7 / x X = 7 / Cos 60 X = 14 Ft Practice 40 ft ? ft 6 ft Sin 50 = (X - 6)/ 40 (X - 6) = 40* Sin 50 (X - 6) = 30.6 X = 30.6 + 6= 36.6 Ft 50