$\"\"$

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Observe the figure:

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The measures are $\"\"$ , $\"\"$ and $\"\"$ .

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Consider, $\"\"$ and $\"\"$ .

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Find angle $\"\"$ .

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Sum of the angles in triangle is $\"\"$ .

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$\"\"$

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Add: $\"\"$ )

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ )

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Therefore, the measures of $\"\"$ . $\"\"$

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Find $\"\"$ .

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$\"\"$ (Defintion of tangent)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Use calculator)

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$\"\"$ (Find the cross product)

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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Therefore, the adjecent side length $\"\"$ is $\"\"$ .

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$\"\"$

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Find $\"\"$ .

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$\"\"$ (Defintion of sine)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Use calculator)

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$\"\"$ (Find the cross product)

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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Therefore, the hypotenuses side length $\"\"$ is $\"\"$ . $\"\"$

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$\"\"$ , $\"\"$ and $\"\"$ .