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
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...
Related questions
Topic Video
Question
100%
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 ?
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
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning