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A cruise ship travels from Port Cassett North at speed of 34 km/h for 2.5 hours. Then it turns 90° and travels west at 30 km/h for 7.3 hours. When it reaches green sea island how far is a ship from Port Cassett? Explain

Sagot :

Benlovespiidn
34km/h*2.5 hours=85km
30km/h*7.3 hours=219km
This makes a right triangle, so you plug it into the Pythagorean Theorem. The result is 234.92km from Port Cassett.

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

https://brainly.com/question/343682

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