$\"\"$

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Greg exerts a force of 150 newtons at an angle of $\"\"$ with the horizontal.

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Resultant force on the luggage is 72 newtons at an angle of $\"\"$ with the horizontal.

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Resultant force on the luggage is sum of the force exerted by the greg $\"\"$ ,vectors representing friction $\"\"$ and weight of the luggage $\"\"$ .

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Weight of the luggage is 67 N.

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Directed angle of the weight is $\"\"$ with the horizontal.

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Therefore, $\"\"$ .

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$\"\"$

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Component form of a vector $\"\"$ is $\"\"$ .

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Component form of the vector representing force exerted by the greg is

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$\"\"$

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Component form of the vector representing resultant force on the luggage is

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$\"\"$

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Component form of the vector representing weight of the luggage is

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$\"\"$

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Substitute corresponding values in $\"\"$ .

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$\"\"$

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Friction force vector component is $\"\"$ .

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$\"\"$

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Resultant of Friction force and weight of the luggage is

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$\"\"$

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Find the magnitude of $\"\"$ .

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$\"\"$

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Magnitude of the resultant vector of Friction force and weight of the luggage is 78 newtons.

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$\"\"$

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Magnitude of the resultant vector of Friction force and weight of the luggage is 78 newtons.