$\"\"$

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Derek and Sam are $\"\"$ feet $\"\"$ inches tall.

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The basket ball goal is at $\"\"$ foot.

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Derek angle of elevation is $\"\"$ .

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Sam angle of elevation is $\"\"$ .

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Consider the distance between Sam and Derek as $\"\"$ and the distance between Sam and the goal as $\"\"$ .

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Draw a diagram using above information.

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$\"\"$

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$\"\"$

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Find the distance between Sam and the goal.

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From the smaller right angle triangle.

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Trigonometric function : $\"\"$ .

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$\"\"$

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Distance between Sam and the goal $\"\"$ inches.

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$\"\"$

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Find the distance between Derek and Sam.

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From the larger right angle triangle.

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Trigonometric function : $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in the above equation.

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$\"\"$

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The distance between Derek and Sam is $\"\"$ inches.

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$\"\"$

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The distance between Derek and Sam is $\"\"$ inches.