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Trigonometry applications topic

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A review of trigonometry for General Mathematics students before starting the HSC course.

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Trigonometry applications topic

1. 1. TrigonometryApplications
2. 2. Review• Trigonometry is the study of triangles and therelationships 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.
3. 3. Which side is it?AdjacentOpposite
4. 4. SOH-CAH-TOA• A pnemonic to remember the 3 trigonometricratios:
5. 5. Finding sides and angles1. Which trigonometric ratio?2. Make an equation.3. Solve the equation.
6. 6. Find the…Side marked x38°x
7. 7. Find the…Side marked x29°19 mx
8. 8. Find the…Side marked x32°46cmx
9. 9. Find the…Angle marked 18cm
10. 10. Find the…Angle marked 29 cm12cm
11. 11. Degrees and MinutesGreater accuracy in measuring angles isachieved by measuring to the nearest minute.1° = 60’To enter an angle into the calculator indegrees and minutes use this button:
12. 12. Angle of elevationThe angle between the horizontal and line ofsight when looking upwards to a point.
13. 13. Angle of depressionThe angle between the horizontal and line ofsight when looking downwards to a point.
14. 14. Trig ProblemJed stands 80 m from the base of a tree that is39 metres tall. What is the angle of elevationto the top of the tree to the nearest minute?80 m39 m(Press the angle button)
15. 15. End of Review