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Answer:
61.03 N at 35° above the horizontal
Step-by-step explanation:
The forces operate at right angles, so the Pythagorean theorem can be used to find the magnitude of the resultant:
||F1 +F2|| = √(50² +35²) = √3725 ≈ 61.03 . . . . newtons
The angle (α) relative to F2 can be found using the tangent relation.
tan(α) = 50/35
α = arctan(50/35) ≈ 55.008°
Then the angle relative to the horizontal reference line is ...
55.0° -20° = 35.0°
The resultant is about 61.03 N at an angle of 35° above the horizontal.
