Answer:
19.5 miles
Step-by-step explanation:
The question is represented in the image attached.
∠A = 45°, ∠B = 45° + (216° - 180°) = 81°
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
45° + 81° + ∠C = 180°
126 + ∠C = 180
∠C = 180 - 126
∠C = 54°
The sine rule states that for a triangle with sides a, b, c and their corresponding opposite angles A, B and C. The following rule holds:
[tex]\frac{a}{sin(A)}= \frac{b}{sin(B)}= \frac{c}{sin(C)}[/tex]
b = length of beginning of submarine to end point. Using sine rule:
[tex]\frac{b}{sin(81)} =\frac{16}{sin(54)} \\\\b=\frac{16}{sin(54)}*sin(81)\\\\b=19.5\ miles[/tex]
