The height of the person is $\"\"$ .

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The shadow of the person is $\"\"$ .

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The distance between person to the flagpole is $\"\"$ . $\"\"$

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Find height of the flag pole.

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Draw the related diagram:

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$\"\"$

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From the diagram:

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

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The height of the flag pole is $\"\"$ .

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From the figure:

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

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$\"\"$ .

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$\"\"$ .

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Since both $\"\"$ and $\"\"$ lie in the plane, their cross product $\"\"$ is orthogonal to the plane and it is normal to plane.

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Find the cross product of $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The equation of the plane passes through the point $\"\"$ and normal vector $\"\"$ is $\"\"$ .

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The plane passes through the point $\"\"$ and normal vector $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The equation of the plane is $\"\"$ .