the height of the observer = g. How to make the measurements: Trigonometric relations: cos(A) = d/z sin(A) = f/ tan(A) = f/d =1/x 1g An object a distance, d, away having a full height, h. f is the height relative to eye level and g is the eye level height of the observer. A stick with a length, 1, held a distance, x, away from eye level. The bottom of the stick is Since 1/x = f/d due to the held at eye level and the top of the stick overlaps with the top of the object regarding the observer's line of sight. similar triangles formed, the angle, A, can easily be determined as well as the height of the object, f, relative to eye level, g. The full height of the object is then, h= f+g

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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What is the formula to compute the angle "A" , using the object distance and its height relative to eye level ?

What is the formula to compute the angle "A" , using stick length and the distance it is held away from your eye ?

Table 2: Length Units
Millimeters Centimeters
Meters
Kilometers
Inches
Feet
Yards
Miles
m
cm
km
in
mi
0.03937 0.003281 0.001094 6.21e-07
0.393701 0.032808 0.010936 0.000006
3.28084 1.093613 0.000621
39370.08 3280.84 1093.613 0.621371
0.083333 0.027778 0.000016
0.333333 0.000189
0.000568
ft
yd
1.
10
1000
1000000
0.1
0.001
0.01
0.000001
0.00001
0.001
100
100000
39.37008
1000
25.4
304.8
914.4
1609344
2.54
0.0254
0.3048
0.9144
1609.344
0.000025
0.000305
0.000914
1
30.48
91.44
12
36
3.
160934.4
1.609344
63360
5280
1760
Transcribed Image Text:Table 2: Length Units Millimeters Centimeters Meters Kilometers Inches Feet Yards Miles m cm km in mi 0.03937 0.003281 0.001094 6.21e-07 0.393701 0.032808 0.010936 0.000006 3.28084 1.093613 0.000621 39370.08 3280.84 1093.613 0.621371 0.083333 0.027778 0.000016 0.333333 0.000189 0.000568 ft yd 1. 10 1000 1000000 0.1 0.001 0.01 0.000001 0.00001 0.001 100 100000 39.37008 1000 25.4 304.8 914.4 1609344 2.54 0.0254 0.3048 0.9144 1609.344 0.000025 0.000305 0.000914 1 30.48 91.44 12 36 3. 160934.4 1.609344 63360 5280 1760
Physics 101-121 Lab #1
Determining the Height of an Object and Unit Conversions
In this lab we are going to indirectly measure the height of some objects and work on unit
conversions as well. See the "Unit Conversion for Distances" file in Canvas for reference.
By measuring the "distance away"=d and the "angle made"= A, you can compute the height = h
of an object using trigonometric relations and the height of the observer = g.
How to make the measurements:
Trigonometric relations:
cos(A) = d/z
sin(A) = f/
tan(A) = f/d =1/x
A
%3D
d.
An object a distance, d, away
having a full height, h. f is the
height relative to eye level and g
is the eye level height of the
observer.
held at eye level and the top of
the stick overlaps with the top
of the object regarding the
observer's line of sight.
A stick with a length, 1, held a
distance, x, away from eye
level, The bottom of the stick is
Since 1/x = f/d due to the
similar triangles formed, the
angle, A, can easily be
determined as well as the
height of the object, f, relative
to eye level, g. The full height
of the object is then, h = f+ g
1. What is the formula to compute the angle "A", using the object distance and its height relative to
Transcribed Image Text:Physics 101-121 Lab #1 Determining the Height of an Object and Unit Conversions In this lab we are going to indirectly measure the height of some objects and work on unit conversions as well. See the "Unit Conversion for Distances" file in Canvas for reference. By measuring the "distance away"=d and the "angle made"= A, you can compute the height = h of an object using trigonometric relations and the height of the observer = g. How to make the measurements: Trigonometric relations: cos(A) = d/z sin(A) = f/ tan(A) = f/d =1/x A %3D d. An object a distance, d, away having a full height, h. f is the height relative to eye level and g is the eye level height of the observer. held at eye level and the top of the stick overlaps with the top of the object regarding the observer's line of sight. A stick with a length, 1, held a distance, x, away from eye level, The bottom of the stick is Since 1/x = f/d due to the similar triangles formed, the angle, A, can easily be determined as well as the height of the object, f, relative to eye level, g. The full height of the object is then, h = f+ g 1. What is the formula to compute the angle "A", using the object distance and its height relative to
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