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Natasha_Volkova [10]
3 years ago
5

Someone help please!

Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0

Answer:

BC ≈ 14.7 m

Step-by-step explanation:

Using the Sine rule in Δ ABC

\frac{AB}{sinC} = \frac{BC}{sinA}

To find ∠ A subtract the 2 given angles from 180°

∠ A = 180° - (90 + 28)° = 180° - 118° = 62°

Then

\frac{7.8}{sin28} = \frac{BC}{sin62} ( cross- multiply )

BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )

BC = \frac{7.8sin62}{sin28} ≈ 14.7 m ( to 3 significant figures )

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