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¡ã x
- 7. Find the¡ Side marked x 29¡ã 19 m x
- 8. Find the¡ Side marked x 32¡ã 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¡ã = 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