Sailboat

The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck.

Correct result:

x =  25.6125 m
A =  38.6598 °

Solution:

l=20 m h=8 m a=l/2=20/2=10 m  c2=a2+h2 c=a2+h2=102+82=2 41 m12.8062 m  x=2 c=2 12.8062=4 41=25.6125 m
sinA=h:c A1=arcsin(h/c)=arcsin(8/12.8062)0.6747 rad  A=A1  =A1 180π   =0.674740942221 180π   =38.66  =38.6598=383935"



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