A crate of mass $50\text{ kg}$ rests in static equilibrium on a rough ramp inclined at $30^\circ$ to the horizontal. Taking $g = 9.8\text{ N/kg}$, what is the magnitude of the resultant contact force (the vector sum of friction and normal reaction force) exerted by the ramp on the crate?

• A$245\text{ N}$
• B$424\text{ N}$
• C$490\text{ N}$
• D$669\text{ N}$

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