Determine 81756

The area for shooting training has the shape of a trapezoid, the parallel sides of which are 36m, 21m long, and the remaining sides are 14m, 16m long. Determine the size of the interior angles with a longer base.

Correct answer:

α =  53.5764 °
β =  66.8676 °

Step-by-step explanation:

a=36 m c=21 m b=14 m d=16 m  x=ac=3621=15 m Δ x,b,d  b2 = x2+d2  2xd cos α  α=π180°arccos(2 x dx2+d2b2)=π180°arccos(2 15 16152+162142)=53.5764=53°3435"
β=π180°arccos(2 x bx2+b2d2)=π180°arccos(2 15 14152+142162)=66.8676=66°523"



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