Question 147464
I have a parallelogram  (rv lot)45 feet by 30 feet with angle of 60 degrees..question is...will my rv of 40 feet by 10 feet fit on lot without crossing boundries?
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Draw the picture of the rv in the parallelogram.
The back of the rv is the base of an equilateral
triangle with 60 degree angles and sides of 10 ft. 
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The triangle with the 120 degree angle has sides
of 20 ft and 45 ft.
Determine whether the 3rd side is >=40 ft. by 
using the Law of Cosines
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x^2 = 20^2 + 45^2 -2*20*45*cos120 = 3325
x = 57.66 ft.
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Yes your 40 foot long rv will fit in the lot.
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Cheers,
Stan H.