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

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...?

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

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

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

How can I be sure?

Circle if we can apply the Sine Rule

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

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

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

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

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

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

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

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

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

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

GCSE QUESTION

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

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

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

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