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#### Description:

Accuracy of measurement in navigation depends very much on the situation. If a sailor's target is an island 200 km wide, sailing off center by 10 or 20 km is not a major problem. But, if the island were only 1 km wide, it would be missed if off just the smallest bit. Many of the measurements made while navigating involve angles, and a small error in the angle can translate to a much larger error in position when traveling long distances. After this activity, students should be able to: Understand that navigation is based on mathematics; understand accuracy and precision;use right triangle trigonometry and angle measurements to calculate distances; understand the relationship between triangulation technology and other fields of study (i.e. mathematics)

#### Subjects:

• Mathematics > General

English

#### Access Privileges:

Public - Available to anyone

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#### Collections:

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Update Standards?

#### CCSS.Math.Content.8.G.B.8: Common Core State Standards for Mathematics

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

#### CCSS.Math.Content.HSG-CO.D.12: Common Core State Standards for Mathematics

Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

#### CCSS.Math.Content.HSG-SRT.C.8: Common Core State Standards for Mathematics

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.?
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