$\"\"$

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a.

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Tensions of two cables are $\"\"$ and $\"\"$ .

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Let the horizontal component of $\"\"$ is $\"\"$ .

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The vertical component of $\"\"$ is $\"\"$ .

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the horizontal component of $\"\"$ is $\"\"$ .

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The vertical component of $\"\"$ is $\"\"$ .

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Redraw the diagram as shown in below :

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$\"\"$

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Observe the diagram :

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$\"\"$ and $\"\"$ are right triangles.

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Find the horizontal component of $\"\"$ , i.e, $\"\"$ by using the cosine ratio.

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In $\"\"$ , $\"\"$ .

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$\"\"$

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$\"\"$ .

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The horizontal component of $\"\"$ is $\"\"$ .

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$\"\"$

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Find the vertical component of $\"\"$ ,i.e, $\"\"$ by using the sine ratio.

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In $\"\"$ , $\"\"$ .

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$\"\"$

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$\"\"$ .

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The vertical component of $\"\"$ is $\"\"$ .

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$\"\"$

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Find the horizontal component of $\"\"$ , i.e, $\"\"$ by using the cosine ratio.

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In $\"\"$ , $\"\"$ .

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$\"\"$

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$\"\"$ .

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The horizontal component of $\"\"$ is $\"\"$ .

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$\"\"$

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Find the vertical component of $\"\"$ , i.e, $\"\"$ by using the sine ratio.

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In $\"\"$ , $\"\"$ .

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$\"\"$

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$\"\"$ .

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The vertical component of $\"\"$ is $\"\"$ .

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$\"\"$

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b.

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Find the magnitude of the vector, $\"\"$ , by using the cosine ratio.

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$\"\"$

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Thus, the magnitude of the vector is about $\"\"$ .

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$\"\"$

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c.

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Find magnitudes of horizontal and vertical components of $\"\"$ and $\"\"$ .

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The horizontal component of $\"\"$ is $\"\"$ .

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Magnitude of horizontal component of $\"\"$ :

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The vertical component of $\"\"$ is $\"\"$ .

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The horizontal component of $\"\"$ is $\"\"$ .

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The vertical component of $\"\"$ is $\"\"$ .

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a.

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$\"\"$ ; $\"\"$ ; $\"\"$ ; $\"\"$ .

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b.

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$\"\"$ ; $\"\"$ .

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c.