Answer:
I am very disappointed in you. I give you extra credit to try and help your grade and you cheat? Please come and see me tomorrow about what you are doing.
Step-by-step explanation:
Answer:
211 meters
Step-by-step explanation:
Let A represents the Admiral, B represents the Barstow and C represents the Cauldrew.
According to the question,
AB = 402,
∠B = 70°,
∠A = 31°,
∵ ∠B + ∠A + ∠C = 180° ⇒ 70° + 31° + ∠C = 180° ⇒ ∠C = 180° - 101° = 79°
By the law of sine,
[tex]\frac{sin C}{AB}=\frac{sin A}{ BC}[/tex]
By substituting the values,
[tex]\frac{sin 79^{\circ}}{402}=\frac{sin 31^{\circ}}{BC}[/tex]
By cross multiplication,
[tex]BC\times sin 79^{\circ} = 402\times sin 31^{\circ}[/tex]
[tex]\implies BC = \frac{ 402\times sin 31^{\circ}}{sin 79^{\circ}}=210.92050995\approx 211[/tex]
Hence, the distance between the Barstow and the Cauldrew is 211 meters ( approx )
Second option is correct.
