Answer:
181.1 knots
Step-by-step explanation
Blowing from 240º means blowing towards 240 - 180 = 60º.
Therefore, when we add the two vectors nose-to-tail, the angle between them is 180º - (90º - 60º) = 150º.
We can use the Law of Cosines:
x^2 = 160^2 + 24^2 - 2×160×24×cos(150º)
x^2 = 25600 + 576 - 7680(-sqrt(0.75))
x = sqrt(26176 + 7680×sqrt(0.75))
x = 181.1824
= 181.1 knots
