1. L.O. Trigonometry All will be able to remember the sine rule
Most can find missing angles using Sine Rule
Some can find missing sides using Sine Rule

2. Pythagoras, Sin, Cos or Tan?1) 2) 3) x
Pythagoras
Sin – Missing Side
Tan – Missing Side 4) 5) 6) a
Tan – Missing angle
Pythagoras
Neither...?

3. L.O. Trigonometry All will be able to remember the sine rule
Most can find missing angles using Sine Rule
Some can find missing sides using Sine Rule

4. Question
What do we do when I have a missing angle or side in a non right angled triangle?

5. It is important you see this is a proportional relationship
Not a right angle?
It is important you see this is a proportional relationship

6. How can I be sure?

7. Circle if we can apply the Sine Rule

9. Your Turn – Give your answer to 3 significant figures
Extension
Create and draw your own non right triangle problem that requires the Sine Rule to calculate a missing side. Give this to the person next to you to answer. You must mark their work

10. Missing Side Solutions
a = 7.93 cm b = 8.59 cm c = 23.5 cm d = 15.9 cm

11. L.O. Trigonometry All will be able to remember the sine rule
Most can find missing angles using Sine Rule
Some can find missing sides using Sine Rule

12. In your words
To find a missing side on a non right angle triangle using the Sine rule I...

13. L.O. Trigonometry All will be able to remember the sine rule
Most can find missing angles using Sine Rule
Some can find missing sides using Sine Rule

15. Your Turn – Give your answer to 1 decimal place
Extension
Create and draw your own non right triangle problem that requires the Sine Rule to calculate a missing angle. Give this to the person next to you to answer. You must mark their work

16. Missing Angle Solutions
a = 35.9o b = 64.5o c = 26.2o d = 29.3o

17. L.O. Trigonometry All will be able to remember the sine rule
Most can find missing angles using Sine Rule
Some can find missing sides using Sine Rule

18. In your words
To find a missing angle in a non right angle triangle using the Sine rule I...

19. L.O. Trigonometry All will be able to remember the sine rule
Most can find missing angles using Sine Rule
Some can find missing sides using Sine Rule

20. GCSE QUESTION

21. Create a question you can apply the Sine rule to?
To finish
Create a question you can apply the Sine rule to?

23. A D
The angle of elevation of the top of a building measured from point A is 25o. At point D which is 15m closer to the building, the angle of elevation is 35o Calculate the height of the building. T B
35o
25o
10o
36.5
145o
15 m
Angle TDA =
180 – 35 = 145o
Angle DTA =
180 – 170 = 10o

24. A
The angle of elevation of the top of a column measured from point A, is 20o. The angle of elevation of the top of the statue is 25o. Find the height of the statue when the measurements are taken 50 m from its base B T C
180 – 115 = 65o
Angle BCA =
180 – 110 = 70o
Angle ACT =
180 – 70 = 110o
Angle ATC =
25o
65o
110o
20o
70o
53.21 m 5o
50 m

25. L.O. Trigonometry All will be able to remember the sine rule
Most can find missing angles using Sine Rule
Some can find missing sides using Sine Rule