Trigonometry applications topic
- 2. 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.
- 3. Which side is it? Adjacent Opposite
- 4. SOH-CAH-TOA • A pnemonic to remember the 3 trigonometric ratios:
- 5. Finding sides and angles 1. Which trigonometric ratio? 2. Make an equation. 3. Solve the equation.
- 6. Find the… Side marked x 38° x
- 7. Find the… Side marked x 29° 19 m x
- 8. Find the… Side marked x 32° 46cm x
- 9. Find the… Angle marked 18cm
- 10. Find the… Angle marked 29 cm 12cm
- 11. 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:
- 12. Angle of elevation The angle between the horizontal and line of sight when looking upwards to a point.
- 13. Angle of depression The angle between the horizontal and line of sight when looking downwards to a point.
- 14. 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)
- 15. End of Review