trigonometry applications topic
DESCRIPTION
A review of trigonometry for General Mathematics students before starting the HSC course.TRANSCRIPT
Trigonometry
Applications
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.
Which side is it?
Hypotenuse
Adjacent
Opp
osite
SOH-CAH-TOA
• A pnemonic to remember the 3 trigonometric ratios:
Finding sides and angles
1. Which trigonometric ratio?2. Make an equation.3. Solve the equation.
Find the…
Side marked x
38°
46 cmx
Find the…
Side marked x
29°
19 m
x
Find the…
Side marked x
32°
46 c
m
x
Find the…
Angle marked
35 cm
18 c
m
Find the…
Angle marked
29 cm
12 c
m
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:
Angle of elevation
The angle between the horizontal and line of sight when looking upwards to a point.
Angle of depression
The angle between the horizontal and line of sight when looking downwards to a point.
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)
End of Review