A stick with a length, I, held a distance, x, away from eye level. The bottom of the stick is held at eye level and the top the stick overlaps with the top of the object regarding the observer's line of sight. of
A stick with a length, I, held a distance, x, away from eye level. The bottom of the stick is held at eye level and the top the stick overlaps with the top of the object regarding the observer's line of sight. of
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 stick length and the distance it is held away from your eye ?
Transcribed Image Text:cricket a
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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:
B
Trigonometric relations:
cos(A) = d/z
sin(A) = f/z
tan(A) = f/d = 1/x
If
A
lg
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, I, held a
distance, x, away from eye
level. The bottom of the stick is
held at eye level and the top of
the stick overlaps with the top
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
of the
regarding
observer's line of sight.
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