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Thales is said to have invented a method of finding distances of ships from shore by use of the angle-side-angle theorem. Here is a possible method: Suppose A is a point on shore and S is a ship (Fig. 2.16). Measure the distance AC along a perpendicular to AC and bisect it at B. Draw CE at right angles to AC and pick point E on it in a straight line with B and S. Show that AEBC=ASBA and therefore that SA= EC. A B C S FIGURE 2.16 One method Thales could have used to determine the distance to a ship at sea

Thales is said to have invented a method of finding distances of ships from shore by use of the angle-side-angle theorem. Here is a possible method: Suppose A is a point on shore and S is a ship (Fig. 2.16). Measure the distance AC along a perpendicular to AC and bisect it at B. Draw CE at right angles to AC and pick point E on it in a straight line with B and S. Show that AEBC=ASBA and therefore that SA= EC. A B C S FIGURE 2.16 One method Thales could have used to determine the distance to a ship at sea

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Thales is said to have invented a method of finding distances of ships from shore by use of the angle-side-angle theorem. Here is a possible method: Suppose A is a point on shore and S is a ship (Fig. 2.16). Measure the distance AC along a perpendicular to AC and bisect it at B. Draw CE at right angles to AC and pick point E on it in a straight line with B and S. Show that AEBC=ASBA and therefore that SA = EC. E A B C -S FIGURE 2.16 One method Thales could have used to determine the distance to a ship at sea
Transcribed Image Text:Thales is said to have invented a method of finding distances of ships from shore by use of the angle-side-angle theorem. Here is a possible method: Suppose A is a point on shore and S is a ship (Fig. 2.16). Measure the distance AC along a perpendicular to AC and bisect it at B. Draw CE at right angles to AC and pick point E on it in a straight line with B and S. Show that AEBC=ASBA and therefore that SA = EC. E A B C -S FIGURE 2.16 One method Thales could have used to determine the distance to a ship at sea
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