$\"\"$

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Draw the related diagram :

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$\"\"$

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The constant speed of the aircraft is $\"\"$ .

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The time taken by aircraft is $\"\"$ .

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From the figure :

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

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$\"\"$ .

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The Law of Sines: $\"\"$ .

\

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Usind sine law: $\"\"$

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Consider $\"\"$ .

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Substitute $\"\"$ and $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The sum of angles in triangle is $\"\"$ .

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Sustitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Substittue $\"\"$ and $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Hence original time taken by aircraft is $\"\"$ .

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$\"\"$

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$\"\"$ .

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Hence, the time lost due to the error is $\"\"$ .

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Therefore, the time lost due to the error is $\"\"$ .

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$\"\"$

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The time lost due to the error is $\"\"$ .