Download - Trigonometry applications topic
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Trigonometry
Applications
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Review
• Trigonometry is the study of triangles and the relationships between their sides and angles.
• Important terms : Hypotenuse, Opposite, Adjacent.
• SOH-CAH-TOA• Finding sides and angles in right-angled
triangles.• Angles in degrees and minutes.• Angles of elevation and depression.
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Which side is it?
Hypotenuse
Adjacent
Opp
osite
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SOH-CAH-TOA
• A pnemonic to remember the 3 trigonometric ratios:
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Finding sides and angles
1. Which trigonometric ratio?2. Make an equation.3. Solve the equation.
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Find the…
Side marked x
38°
46 cmx
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Find the…
Side marked x
29°
19 m
x
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Find the…
Side marked x
32°
46 c
m
x
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Find the…
Angle marked
35 cm
18 c
m
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Find the…
Angle marked
29 cm
12 c
m
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Degrees and Minutes
Greater accuracy in measuring angles is achieved by measuring to the nearest minute.
1° = 60’
To enter an angle into the calculator in degrees and minutes use this button:
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Angle of elevation
The angle between the horizontal and line of sight when looking upwards to a point.
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Angle of depression
The angle between the horizontal and line of sight when looking downwards to a point.
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Trig Problem
Jed stands 80 m from the base of a tree that is 39 metres tall. What is the angle of elevation to the top of the tree to the nearest minute?
80 m
39 m
(Press the angle button)
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End of Review