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
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter32: Metric Vernier Calipers And Height Gages
Section: Chapter Questions
Problem 1A: Read the decimal-inch vernier caliper measurement for this setting.
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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 ?
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