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61. The area of a triangle is to be computed from the formula A sab sin 0, where a and b are the lengths of two sides and 0 is the included angle. Suppose that a, b, and 0 are measured to be 40 ft, 50 ft, and 30°, respectively. Use differentials to approximate the maximum error in the cal- culated value of A if the maximum errors in a, b, and 0 are | ft, ft, and 2°, respectively.

61. The area of a triangle is to be computed from the formula A sab sin 0, where a and b are the lengths of two sides and 0 is the included angle. Suppose that a, b, and 0 are measured to be 40 ft, 50 ft, and 30°, respectively. Use differentials to approximate the maximum error in the cal- culated value of A if the maximum errors in a, b, and 0 are | ft, ft, and 2°, respectively.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 51RE
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61. The area of a triangle is to be computed from the formula A = ;ab sin O, where a and b are the lengths of two sides and 0 is the included angle. Suppose that a, b, and 0 are measured to be 40 ft, 50 ft, and 30°, respectively. Use differentials to approximate the maximum error in the cal- culated value of A if the maximum errors in a, b, and 0 are ! ft, 1 ft, and 2°, respectively. 4.
Transcribed Image Text:61. The area of a triangle is to be computed from the formula A = ;ab sin O, where a and b are the lengths of two sides and 0 is the included angle. Suppose that a, b, and 0 are measured to be 40 ft, 50 ft, and 30°, respectively. Use differentials to approximate the maximum error in the cal- culated value of A if the maximum errors in a, b, and 0 are ! ft, 1 ft, and 2°, respectively. 4.
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