$\"\"$

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The garage length $\"\"$ .

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The garage width $\"\"$ .

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The garage height $\"\"$ .

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The support beam height $\"\"$ .

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Height of the beam above the roof is $\"\"$ feet.

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From the figure,

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Consider $\"\"$

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$\"\"$

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$\"\"$

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The angle of elevation is the new beam $\"\"$ .

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$\"\"$

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The angle of elevation is the new beam $\"\"$ .