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First of all, 2 deg 40' = (8/3) degrees

remember soh-cah-toa...

sin(angle) = opposite Side Distance / hypotenuse Distance.
cos(angle) = adjacent Side Distance / hypotenuse Distance.
tan(angle) = opposite side distance / adjacent side distance...

the sides correspond to their location relative to the angle being measured.. knowing the hypotenuse distance, and the angle. you have:

cos(8/3) = your horizontal / hypotenuse length.

thus:

horizontal Distance = cos(8/3) * hypotenuse length = 78.68

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