To find the eastward component of the force, you can use the cosine of the angle. The formula for the eastward component \(F_{\text{east}}\) is given by:
\[ F_{\text{east}} = F \cdot \cos(\theta) \]
where:
- \(F\) is the total force (89 N),
- \(\theta\) is the angle (28°).
Now, calculate the eastward component:
\[ F_{\text{east}} = 89 , \text{N} \cdot \cos(28^\circ) \]
Using a calculator to find \(\cos(28^\circ)\):
\[ \cos(28^\circ) \approx 0.8829 \]
Now multiply:
\[ F_{\text{east}} \approx 89 \cdot 0.8829 \approx 78.49 , \text{N} \]
Thus, the eastward component of the force is approximately 78.49 N.
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