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Sphinxa [80]
2 years ago
15

Plz help!! Consider the given right triangle.

Mathematics
1 answer:
aalyn [17]2 years ago
4 0

Answer:

b = 8

c = 16

Step-by-step explanation:

From the given right triangle,

a = 8\sqrt{3}, m(∠B) = 30°

By applying sine rule in the given triangle,

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

cos(B) = \frac{BC}{AB}

cos(30°) = \frac{8\sqrt{3}}{c}

\frac{\sqrt{3} }{2}= \frac{8\sqrt{3} }{c}

c = 16

Further we apply tangent rule,

tan(B) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(30°) = \frac{b}{a}

\frac{1}{\sqrt{3}}=\frac{b}{8\sqrt{3} }

b = 8

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