Answer:
381 miles
Step-by-step explanation:
After 10 hours, the first ship travels 190 miles. The second ship travels 260 miles.
Find the x and y components of each ship.
x₁ = 190 mi cos 310° = 122.13 mi
y₁ = 190 mi sin 310° = -145.55 mi
x₂ = 260 mi cos 195° = -251.14 mi
y₂ = 260 mi sin 195° = -67.29 mi
The difference in components is:
x = x₂ − x₁ = -373.27 mi
y = y₂ − y₁ = 78.26 mi
The magnitude is:
d² = x² + y²
d² = (-373.27 mi)² + (78.26 mi)²
d ≈ 381 mi
