A ferry transports passengers to three different ports. From port 1, the ferry travels east 3.5 miles to port 2. The ship
then heads 15 east of south for 6 miles to reach port 3. What is the distance from port 3 to port 1? Draw a diagram to
help you. Approximate to the nearest tenth of a mile.
miles

Respuesta :

Answer:

7.7

Step-by-step explanation:

trust me, I solved it out

Answer: The distance between port 3 to port 1 is 7.7 miles.

A rough sketch is attached.

The angle between 3.5 and 6 is = (90 + 15) = 105 degrees.

We will need the law of cosine.

So the distance between port 3 to port 1 is:

[tex]\sqrt{3.5^{2}+6^{2}-2\left(3.5\right)\left(6\right)\cos\left(105\right)}=7.68897911912=7.7[/tex].

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