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please help with number 5 and the interpretation questions 1 and 2
Transcribed Image Text:1. Use the angle and the length of the string.
Sin28°
hh=3.4(sin 28°) =2.6 meters
3.4
2. Use the angle and the distance along the floor.
tane = oppasTte side tan (28°) - h
Adjacent side
h= tan ( 28°)(2.8 m)= 1.488
2.8m h=1.5m
3. Use l and / to oompute O. Determine your height using the calculated
e and .
Cose - Adjacent side
Hypotenuse
2.8 m
3.4m
to
= 0.823
%3D
0= Cos-1(0.823) = 34.61°
0=34.61
%3D
4. Use the Pythagorean theorem.
-h?+e? =(3:4m)=(2.8m)
31.92m
5. Using the height you obtained in Procedure Step 4 as the most ac-
curate value, compute the percent error in your answers for 1-4
above.
1. What are some possible sources of error in the indirect method of
measu rement?
Interpretation
2. List some applications of the indirect method of measuring helght.
Transcribed Image Text:Chapter 2
MINILAB
%3
2-2 Measuring Height Indirectly
Objective
During this investige tion you will
• use trigonometry to measure your height indirectly.
Equipment
sturdy string or fishing line (about 3 meters long)
protractor
meter stick
Procedure
1. Hold one end of he string on top of your head.
2. Have your partnor extend the string to the floor in front of you.
This string is the hypotenuse of a triangle in whích your body and
the floor make uj) the other two sides.
3. Measure the length of the string, I, the distance along the floor from
your feet to the place where the string touches, f, and the angle
between the string and the floor, 6, Record these values in the Data
and Calculations section.
4. Measure your height directly by standing against the wall.
5. Repeat Steps 1-4 to determine your partner's height.
Data and Calculations
Length of string (1) 3,4 meders
Distance along the floor () -2.8 meters.
Angle between floor and string (0) 28°
Height measured di rectly 1.6 meters
Calculate your height by each of the methods indicated below. Be sure
to indicate the equa Jon you use in each case. Use the margins for your
calculations.
2-7
Chapler 2
Charlon K. Merrill Publialing Compuny Copyright © 1066 by Ball & Howell Company.
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