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PLEASE HELP ME WITH PAGE 2 :)

Mathematics
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Oct 10th, 2014

b) sin φ = opposite/hypotenuse

          = 1.8/2.3 = 0.78

       φ = 51°

c) cos φ = adjacent/hypotenuse

    cos φ = 5.5/7.75 = 0.70

           φ = 45° 

3. a) <C = 90°, <B = 25°, a=16

         <A=180-(90+25) = 180 - 115 = 65°

         tan(B)= opposite/adjacent

         tan(25°) = b/a = b/16 = 0.46

                                   b = 0.46*16 = 7.4

          c²=a²+b² = 16²+7.4² = 256+54.76 = 310.26

           c²= 310.26

           c = √310.26 = 17.6

b)        <C = 90°, c=13, a=5

           sin (A) = opposite/hypotenuse = 5/13 = 0.38

           <A=22°

           <B = 180 - (22+90) = 180 - 112 = 68°

      c² = a²+b²

      b² = c²-a² = 13²-5² = 169-25= 144

      b=12

4) tan(x) = opposite/adjacent 

     tan (41°) = x/13.4 = 0.869

      x = 0.869*13.4 = 11.6 m


Oct 10th, 2014

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