l.o.€¦ · that requires the sine rule to calculate a missing side. give this to the person next...
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L.O.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
Trigonometry
Pythagoras, Sin, Cos or Tan?
x
a
Pythagoras Sin – Missing Side Tan – Missing Side
Tan – Missing angle Pythagoras Neither...?
1) 2) 3)
4) 5) 6)
L.O.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
Trigonometry
Question
What do we do when I have a
missing angle or side in a non right angled
triangle?
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
ExtensionCreate 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.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
Trigonometry
In your words
To find a missing side on a non right angle triangle using the Sine rule I...
L.O.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
Trigonometry
Your Turn – Give your answer to 1 decimal place
ExtensionCreate 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.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
Trigonometry
In your words
To find a missing angle in a non right angle triangle using the Sine rule I...
L.O.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
Trigonometry
GCSE QUESTION
To finish
Create a question you can apply the Sine rule to?
25o
15 mAD
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
Angle TDA =
145o
Angle DTA =
10o
o o
1525 10
TDSin Sin
o15 2536.5
10Sin
TD mSin
35o
36.5
o3536.5TB
Sin
o36.5 25 0. 93TB Sin m
180 – 35 = 145o
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
50 m
Angle BCA =
70o
Angle ACT = Angle ATC =
110o
65o
o 5020Cos
AC
o
5020
53.21 (2 )
ACCosm dp
o o
53.215 65
TCSin Sin
o
53.21 5 (1 )
655.1
SinTC m dp
Sin
B
T
C
180 – 110 = 70o 180 – 70 = 110o 180 – 115 = 65o
20o25o
5o
L.O.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
Trigonometry
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