Download 9.6 Solving Right Triangles

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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
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