This document provides a review of trigonometry concepts including right triangles, trigonometric ratios, and using trigonometry to solve problems involving angles of elevation and depression. Key terms like hypotenuse, opposite, and adjacent sides are defined. Mnemonics like SOH-CAH-TOA are presented to help remember the trigonometric ratios. Steps for solving problems by identifying the appropriate ratio, writing an equation, and solving are outlined. Converting between degrees and minutes for more precise angle measurement is also described.

1. Trigonometry
Applications

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