Two rescue vessels are pulling a broken-down motorboat toward a boathouse with forces of 840 lbs. and 960 lbs. The angle between these two forces is 24.5°. Determine the angle between the resultant vector and the 840-lb force (x). Find the magnitude and direction ( e) of the equilibrant. r = r=₁ x=₁ 8 =₁ :: cos(24.5°) (840)2 + (960)²-2(840)(960) :: 400 lbs :: 1790 lbs :: 77 840 lbs. :: 169 960 lbs. :: cos(167.75°) :: 1759 lbs #11° :: 103 :: 13° :: 167° :: cos(155.5°)
Two rescue vessels are pulling a broken-down motorboat toward a boathouse with forces of 840 lbs. and 960 lbs. The angle between these two forces is 24.5°. Determine the angle between the resultant vector and the 840-lb force (x). Find the magnitude and direction ( e) of the equilibrant. r = r=₁ x=₁ 8 =₁ :: cos(24.5°) (840)2 + (960)²-2(840)(960) :: 400 lbs :: 1790 lbs :: 77 840 lbs. :: 169 960 lbs. :: cos(167.75°) :: 1759 lbs #11° :: 103 :: 13° :: 167° :: cos(155.5°)
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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Transcribed Image Text:Two rescue vessels are pulling a broken-down
motorboat toward a boathouse with forces of
840 lbs. and 960 lbs. The angle between these
two forces is 24.5°. Determine the angle
between the resultant vector and the 840-lb
force (x). Find the magnitude and direction (
e) of the equilibrant.
r =
r =₁
x=1
8=₁
-r
:: cos(24.5°)
(840)² + (960)² - 2(840)(960)
:: 400 lbs
:: 1790 lbs
e
:: 77
:: 169
O
840 lbs
960 lbs.
:: cos(167.75°)
:: 1759 lbs
:: 11° :: 139
:: 103°
:: 167
:: cos(155.5°)
O
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