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 
What are the types of triangles?
Which ones are side dependent?
Angle dependent?
How do you know two
triangles are similar?
What do you notice about these
triangles?
Now that you have mastered similar
triangles we can tell you the story of a
famous mathematician…
http://www.slideshare.net/guest6ba711/so
h-cah-toa-indian
 Adjacent
 Opposite
 Hypotenuse
 Sine
 Cosine
 Tangent
 Theta (Θ)
 Trigonometry is hugely important in surveying. You may
have seen surveyors using this funny looking instrument
in this picture. What are they doing? They are measuring
land. It is rather difficult to measure lengths especially
when the ground is difficult, but it is easy to measure
angles to a very high degree of accuracy. They make a
careful measurement of a distance between two specific
places then build up a series of triangles and use
trigonometry to measure lengths. The whole process is
called triangulation, and is used to measure building
sites, national parks, countries and even whole
continents!
What information do you need to find out
the height of the something you chose?
 Find an open space to measure the height of an object
hanging from the ceiling or the wall (or outside – i.e. flag
pole).
 Using the hypsometers, and tape measures, the
students should calculate the height of the object.
 Come back to class, and talk about the data.
 How were the hypsometers useful in figuring out the
angle? Any struggles using it?
 Once you found the angle how did you figure out the
height?
 Did you use sine, cosine, or tangent to solve for the
height of the flag pole or the street light???
 Find the height of the church across from East Aurora
Magnet Middle School given the distance is 210 feet
from the classroom window to the church (from the 4th
floor)
 What are the different methods used to solve the
problem?
 What were some differences between measuring the
height of flag/light pole versus the height of the church?
 Any questions?

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Soh cah toa surveying how things work (2)

  • 2. What are the types of triangles? Which ones are side dependent? Angle dependent?
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. How do you know two triangles are similar?
  • 9. What do you notice about these triangles?
  • 10.
  • 11.
  • 12.
  • 13.
  • 14. Now that you have mastered similar triangles we can tell you the story of a famous mathematician… http://www.slideshare.net/guest6ba711/so h-cah-toa-indian
  • 15.  Adjacent  Opposite  Hypotenuse  Sine  Cosine  Tangent  Theta (Θ)
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.  Trigonometry is hugely important in surveying. You may have seen surveyors using this funny looking instrument in this picture. What are they doing? They are measuring land. It is rather difficult to measure lengths especially when the ground is difficult, but it is easy to measure angles to a very high degree of accuracy. They make a careful measurement of a distance between two specific places then build up a series of triangles and use trigonometry to measure lengths. The whole process is called triangulation, and is used to measure building sites, national parks, countries and even whole continents!
  • 25.
  • 26.
  • 27.
  • 28. What information do you need to find out the height of the something you chose?
  • 29.  Find an open space to measure the height of an object hanging from the ceiling or the wall (or outside – i.e. flag pole).  Using the hypsometers, and tape measures, the students should calculate the height of the object.  Come back to class, and talk about the data.
  • 30.  How were the hypsometers useful in figuring out the angle? Any struggles using it?  Once you found the angle how did you figure out the height?  Did you use sine, cosine, or tangent to solve for the height of the flag pole or the street light???
  • 31.  Find the height of the church across from East Aurora Magnet Middle School given the distance is 210 feet from the classroom window to the church (from the 4th floor)
  • 32.  What are the different methods used to solve the problem?  What were some differences between measuring the height of flag/light pole versus the height of the church?  Any questions?