The magnitude and direction of two forces acting on an object are 80 pounds, S67°E, and 50 pounds, N71°E, respectively. Find the magnitude to the nearest hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force. The magnitude is approximately 121.84 pounds. (Do not round until the final answer. Then round to the nearest hundredth as needed.) The direction angle is°. (Do not round until the final answer. Then round to the nearest tenth as needed. Do not include the degree symbol in your answer.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
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The magnitude and direction of two forces acting on an object are 80 pounds, S67°E, and 50 pounds, N71°E, respectively. Find the magnitude,
to the nearest hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force.
The magnitude is approximately 121.84 pounds.
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
The direction angle is °.
(Do not round until the final answer. Then round to the nearest tenth as needed. Do not include the degree symbol in your answer.)
Transcribed Image Text:The magnitude and direction of two forces acting on an object are 80 pounds, S67°E, and 50 pounds, N71°E, respectively. Find the magnitude, to the nearest hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force. The magnitude is approximately 121.84 pounds. (Do not round until the final answer. Then round to the nearest hundredth as needed.) The direction angle is °. (Do not round until the final answer. Then round to the nearest tenth as needed. Do not include the degree symbol in your answer.)
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