Question

Someone help I don't know this trig question ​

Answer 1

Bill is 9.80 km apart from Concert

Explanation:

It's given in the question,

m∠B = 75°

m∠C = 45°

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

m∠A + 75° + 45° = 180°

m∠A = 180° - 120°

m∠A = 60°

By sine rule,

`\frac{\text{sin}(\angle A)}{BC}=\frac{\text{sin}(\angle C)}{AB}`

`\frac{\text{sin}(60)}{BC}=\frac{\text{sin}(45)}{8}`

BC =
`\frac{8\text{sin}(60)}{\text{sin}(45)}`

= 9.80 km

Therefore, Bill is 9.80 km apart from Concert.