Map Distortion. A map is a 2-dimensional “ flat" representation of a states and roads that are on the surface of a sphere. Straight-line distances on a map are approximations to circular arcs on the sphere (i.e. the earth's surface). In going from arcs to lines, the linear distance ends up being shorter than the actual distance along the arc. For every 500 linear miles find the difference between linear distance and the arc distance. (Refer to the figure below] 500 miles R. Earth's Surface Assume the Earth's radins R-4000 miles The dashed line is the same distance as the line above it]

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section1.2: The Rectangular Coordinate System
Problem 43PS: Softball and Rectangular Coordinates If a coordinate system is superimposed on the softball diamond...
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Map Distortion. A map is a 2-dimensional " flat" representation of a states and roads that are
on the surface of a sphere. Straight-line distances on a map are approximations to circular arcs
on the sphere (i.e. the earth's surface). In going from arcs to lines, the linear distance ends up
being shorter than the actual distance along the arc. For every 500 linear miles find the difference
between linear distance and the arc distance. [Refer to the figure below]
500 miles
R.
Earth's
Surface
Assume the Earth's radins R=1000 miles
The dashed line is the same distance as the line above it]
Transcribed Image Text:Map Distortion. A map is a 2-dimensional " flat" representation of a states and roads that are on the surface of a sphere. Straight-line distances on a map are approximations to circular arcs on the sphere (i.e. the earth's surface). In going from arcs to lines, the linear distance ends up being shorter than the actual distance along the arc. For every 500 linear miles find the difference between linear distance and the arc distance. [Refer to the figure below] 500 miles R. Earth's Surface Assume the Earth's radins R=1000 miles The dashed line is the same distance as the line above it]
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