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Answer:
48.8 lbs
Step-by-step explanation:
The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:
a/sin(A) = c/sin(C)
x/sin(26°) = 80/sin(134°)
x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds
The larger component force is about 48.8 pounds.
Because the angels are equivalent, you can set the expressions equal to each other and solve. You will find that x = 54.
Work shown in image - let me know if I made any errors or if you have any additional questions.
Work shown in image - let me know if I made any errors or if you have any additional questions.