PHY LAB 4 EXPERIMENT: Trigonometric Measurements

PHY LAB 4 EXPERIMENT: Trigonometric Measurements

Subject: Physics    / General Physics
Question

Lab Report Name: ____________________

Section: ___________________

EXPERIMENT: Trigonometric Measurements

Data Tables:

Procedure 1:

Experimental measurement of the angles and sides of a right triangle:

Side “a” (cm)

Side “b” (cm)

Side “c” (cm)

Angle “A”

Angle “B”

Measurements

59 ½ cm

69 cm

38 cm

55 degrees

65 degrees

Calculations:

Angle “A”

Angle “B”

Calculation of Angle

Using sin function

sin= opposite/hypotenuse

Calculation of Angle

Using cos function

cos = adjacent/hypotenuse

Calculation of Angle

Using tan function

tan = opposite/adjacent

Average value of Angle

Procedure 2:

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 3:

Determination of the hypotenuse and angles of a right triangle when the sides are measured:

Side “a”

Side “b”

Measurement (cm)

Hypotenuse

Angle “B”

Angle “A”

Calculated values

Measured values

Difference between calculated and measured values

Procedure 4:

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?

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