Using Pythagoras theorem, the distance between Green sea and port Cassette is 234.917 km.
What is Pythagoras theorem?
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle).
(Hypotenuse^2 = base^2 + perpendicular^2)
In Δ ABC (refer to the image below)
[tex]speed = \frac{distance}{time} \\\\distance = speed *time[/tex]
AB = 34 km/hr * 2.5 hrs = 85 km
(distance from Port Cassette to some point)
BC = 30 km/hr * 7.3 hrs = 219 km
(distance from that point to Green Sea)
[tex]AC = \sqrt{AB^{2}+BC^{2} } = \sqrt{85^{2}+219^{2} } = 234.917[/tex] km
(distance from Port Cassette to Green Sea)
Learn more about Pythagoras theorem here
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