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Triangulation

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Ratio of any two corresponding sides or altitudes are equal ... 9.32cmS. 47.81cmS. DL. 9.30mL. Step 2: Define the scale. Step 3: Perform the conversion. ... – PowerPoint PPT presentation

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Title: Triangulation


1
Triangulation
  • What it is Why we Use It
  • Geometry Review
  • Applying Geometry

2
What it is Why we Use It
  • Triangulation is a process that uses geometry to
    indirectly measure distances.
  • Used when the object being measured cannot be
    measured directly
  • Too large, inconveniently located

3
Geometry Review
  • Similar Triangles
  • Corresponding angles are congruent
  • Ratio of any two corresponding sides or altitudes
    are equal
  • The above ratios tell us how many times bigger or
    smaller the triangles are to one another

4
Applying Geometry (1 of 3)
  • Making Similar Triangles
  • First line extends from eye to top of
    object
  • Second line extends from eye to bottom of object
  • Do you see the two triangles?
  • The small triangle is Red
  • The large triangle is Green

5
Applying Geometry (2 of 3)
  • These triangles are similar because they share
    one angle and the ruler is parallel to the wall
  • Because these are similar triangles we can use
    any two corresponding sides or altitudes to
    calculate the scale
  • We measured the lengths below

6
Applying Geometry (3 of 3)
  • Once we have the scalewe can convert
    anydistance in one triangle to the
    corresponding distance in the other triangle
  • The wall appears to be 28.3 cm tall on the meter
    stick
  • Use the Scale to convert from small to large

7
Practice Problem
Step 1 Draw label a diagram In this case, we
will need to picture the scenario from the side.
9.30mL
  • Julia is standing across a river from her house
    and is wondering exactly how far away she is.
    She holds up a ruler vertically, 47.81 cm from
    her eye, and measures the apparent height of the
    house to be 9.32 cm. If the actual height of the
    house is 9.30 m, how far away is Julia standing?

Step 2 Define the scale
Step 3 Perform the conversion.
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