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. 

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.
20°
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
Transcribed Image Text: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. 20° 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
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