SOLUTION: A vertical mast [PQ] is supported by two sraight cables [PS] and [PR]. The cables are joined to level ground at S and R where |SR| = 15cm. |RQ| = 17.4cm and |<PRQ| = 50 degrees. Wh

Algebra ->  Trigonometry-basics -> SOLUTION: A vertical mast [PQ] is supported by two sraight cables [PS] and [PR]. The cables are joined to level ground at S and R where |SR| = 15cm. |RQ| = 17.4cm and |<PRQ| = 50 degrees. Wh      Log On


   



Question 852486: A vertical mast [PQ] is supported by two sraight cables [PS] and [PR]. The cables are joined to level ground at S and R where |SR| = 15cm. |RQ| = 17.4cm and |
I have tried everything I possibly can, I've tried a/sinA =b/sinB to find a missing side, with no luck and i've tried the cos rule with no luck either!
I appreciate any help you can give, thank you very much in advance!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A vertical mast [PQ] is supported by two sraight cables [PS] and [PR]. The cables are joined to level ground at S and R where |SR| = 15cm. |RQ| = 17.4cm and |
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tan(50 degrees) = PQ/RQ = PQ/17.4
So, PQ = 17.4*tan(50) = 20.74 cm
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sin(50) = PQ/PR
PR = 20.74/sin(50) = 27.07 cm
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SQ = ?
tan(PSQ) = PQ/SQ = 20.74/?
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Cheers,
Stan H.
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