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hodyreva [135]
3 years ago
12

Find the value of y round to the nearest tenth! laws of sin trigonometry!!!! help!!! please!!!!​

Mathematics
1 answer:
Kipish [7]3 years ago
3 0

Answer:

43.5

Step-by-step explanation:

We first need to find 'x', then the missing angle to solve for y.

We start with..

(Sin 42)/31 = (Sin X)/37

   solving for X....

      37(Sin 42)/31 = Sin X  (multiply both sides by 37 to isolate Sin X)

        0.798639756 = Sin X

 

          Sin^(-1) 0.798639756 = X

                         53° = X

Now we can find the missing angle needed to solve for y....

42° + 53° + Y = 180°

     So Y = 85°

Solving for y gives us...

(Sin 42)/31 = (Sin 85)/y

 

           y(Sin 42) = 31(Sin 85)      (cross multiply)

           y = 31(Sin 85)/(Sin 42)    (divide both sides by Sin 42 to isolate y)

             y = 46.2     (rounded to the nearest tenth

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