By postulate of alternate interior angles, the angle at the head of the first load on the opposite side with respect to the horizontal is also 60°. With a knowledge that the angle of a straight line is 180°, angle a can be determined. 20⁰ 60° 50N α R 70N a=180-60-20 = 100° By law of cosines: R²=50² +70²-2(50) (70) cos (100) R = 92.82N
By postulate of alternate interior angles, the angle at the head of the first load on the opposite side with respect to the horizontal is also 60°. With a knowledge that the angle of a straight line is 180°, angle a can be determined. 20⁰ 60° 50N α R 70N a=180-60-20 = 100° By law of cosines: R²=50² +70²-2(50) (70) cos (100) R = 92.82N
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Can anyone explain to me where did the " -2(.50)(70)cos100 " come from? I understand the Pythagorean theorem but if finding for R, I thought it would stop there.
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