Answer:
D = 170.6Km
Step-by-step explanation:
First of all, we set the reference (origin) at Grand Bahama.
Nw, from the first displacement of 3h we calculate the distance:
D1 = V1*t = 43.5 * 3 = 130.5 Km
The coordinates of this new location is given by:
r1 = ( -D1*cos(60°); D1*sin(60°)) = (-62.5; 158.835) Km
For the second displacement, the duration was of 1.95 hours (4.95 -3), so the distance traveled was:
D2 = V2*t = 23.5 * 1.95 = 45.825 Km
The coordinates of this new location is given by:
r2 = r1 + ( 0; D2) = (-62.25; 158.835) Km
Now we just need to calculate the magnitude of that vector to know the distance to Grand Bahama:
[tex]Dt = \sqrt{D_{2x}^{2}+D_{2y}^{2}}=170.6 Km[/tex]
