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Viefleur [7K]
2 years ago
8

Find the length of side b below using Law of Sines. Give the exact value as an expression and an approximation to the nearest te

nth.

Mathematics
1 answer:
denis-greek [22]2 years ago
4 0

Answer:

b ≈ 7.8

Step-by-step explanation:

using the law of sines

∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then

\frac{b}{sin40} = \frac{7}{sin35} ( cross- multiply )

b × sin35° = 7 × sin40° ( divide both sides by sin35° )

b = \frac{7sin40}{sin35} ≈ 7.8 ( to the nearest tenth )

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