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Procedure 1:
Determination of the sides of a right triangle when the hypotenuse and one angle are measured:
Hypotenuse
Angle "B"
Measurement
Side "a"
Side "b"
Calculated length using
trig functions
Measured length
Difference between calculated and measured values
Procedure 2:
Determination of the hypotenuse and angles of a right triangle when the sides are measured:
Measurement (cm)
Angle "A"
Calculated values
Measured values
Procedure 3:
Indirect measurements of heights by trigonometry
Distance to building (m)
Distance from ground to eyes (m)
Angle to top of building
Height "b"
tan B = opposite/adjacent
Total height = Ht "b" + "ground to eyes" ht
Questions:
A. Draw a triangle with sides measuring 8, 12, and 14.4 units. With a protractor measure the angles. Then compute the angles trigonometrically.
B. What would happen in your previous experiments if the wall or building were not perpendicular to the ground?
C. What uncertainty is introduced into the experiment by using a tape measure to measure the sides of the triangle?
D. To what degree of accuracy can you read a protractor?
Use augmented matrices
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