Trigonometric relations: cos(A) = d/z sin(A) = f/ tan(A) = f/d = /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. 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 l/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 What is the formula to compute the angle "A", using the object distance and its height relative to
Trigonometric relations: cos(A) = d/z sin(A) = f/ tan(A) = f/d = /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. 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 l/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 What is the formula to compute the angle "A", using the object distance and its height relative to
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Chapter2: Right Triangle Trigonometry
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What is the formula to compute the angle "A" , using the object distance and its height relative to eye level ?
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b1e3bde-62c6-491b-a227-0e94a63ec488%2Ff040dcc1-2e64-4968-ab16-8806574eb012%2Flcjxbk_processed.jpeg&w=3840&q=75)
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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