Download Y12_2_Applications_of_pythag_trig

Pythagoras Applications
Pythagoras: examples
Steps…
1) Draw a triangle
2) Label the triangle
3) Finding short or long side?
4) Working
5) Answer sensible?
6) Units & rounding
1) Find length D
Dm
7m
12m
2) A boat sails from port 3.6 km South, then 4.8 km West, then back to port.
How far did the boat sail in total?
3) Find x
x+1
x
x-7
Trigonometry Applications
1) Find the marked angle in the triangle.
400 m
Theta
p205 Ex 21.2
p208 Ex 21.3
θ°
600 m
2) An aeroplane takes off and climbs in a straight line. If it flies 5000m through
the air and climbs to a height of 1200m find the angle of climb.
3) A ship leaves port and sails north for 2.4 km then east for 5 km. Find the
bearing the now is from the port
3D Pythagoras & trig applications
Planes & Projections
Calculate the angle between the line
and its projection onto the plane
A
B
D
C
1) Name the angle between the line AH
and its projection onto the plane AEGC
3.4 m
2) Calculate the size of this angle
G
E
F
2.5 m
3.1 m
3) Calculate the angle between
the planes ABGH and BCGF
4) Calculate the angle between
the planes ABGH and AEFB
H
G
C
H
D
F
E
12.6 m
m
6.5 m
B
8.4 m
A