Let's label the axes and have teh diagram as,

**Part A**

From our diagram,

F_{By} = F_{B}cos(105° - 90°) = (475)cos(15°) = 458.1 N

F_{Bx} = F_{B}sin(105° - 90°) = (475)sin(15°) = 122.94 N

Therefore, the forces along the x-direction are:

Three forces are applied to a tree sapling, as shown in (Figure 1) , to stabilize it. Suppose that $\overrightarrow{{\mathrm{F}}_{\mathrm{A}}}$ = 355 Nand $\overrightarrow{{\mathrm{F}}_{\mathrm{B}}}$ = 475 N .

Part A

Determine the magnitude of $\overrightarrow{{\mathrm{F}}_{\mathrm{C}}}$ .

Express your answer to three significant figures and include the appropriate units.

Part B

Determine the angle between $\overrightarrow{{\mathrm{F}}_{\mathrm{A}}}$ and $\overrightarrow{{\mathrm{F}}_{\mathrm{C}}}$ measured clockwise. Express your answer using three significant figures.

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