Draw the related diagram :

The constant speed of the aircraft is .

The time taken by aircraft is .

From the figure :

and .

.

The Law of Sines: .

Usind sine law:

Consider .

Substitute and and .

.

The sum of angles in triangle is .

Sustitute and .

.

Consider .

Substittue and and .

Hence original time taken by aircraft is .

.

Hence, the time lost due to the error is .

Therefore, the time lost due to the error is .

The time lost due to the error is .

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