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uranmaximum [27]
3 years ago
8

Need help solving the equation, trying to figure whether I multiply or divide.​

Mathematics
1 answer:
USPshnik [31]3 years ago
5 0

Answer:

m∠B = 43°

b = 26.1

c = 38.3

Step-by-step explanation:

By applying triangle sum in the given triangle,

47° + 90° + m∠B = 180°

137° + m∠B = 180°

m∠B = 43°

By applying sine ratio to the angle measuring 47°.

sin(47°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

            = \frac{28}{c}

c = \frac{28}{\text{sin}(47^{\circ})}

c = 38.28

c ≈ 38.3

By applying cosine rule,

cos(47°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

             = \frac{b}{c}

             = \frac{b}{38.3}

b = 38.3[cos(47°)]

b = 26.1

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