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antoniya [11.8K]
3 years ago
14

A boat sails 20 miles wast of the port and then 15 miles south to an island how far is the boat from the port if you measure thr

distance in a straight line ?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer:

25 miles

Step-by-step explanation:

Given: A boat sail 20 miles west of the port and then 15 miles south to an island.

Picture attached.

The distance from port to island could be measured in a straight line. It will form a hypotenous.

∴ we can use Pythogorean theorem to find the distance.

h^{2} = a^{2} +b^{2}

Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.

h^{2} = 20^{2} +15^{2}

⇒ h^{2} = 400+225= 625

⇒h^{2} = 625

⇒h= \sqrt{625}= \sqrt{25^{2} }

We know \sqrt{x^{2} } = x.

∴h= 25\ miles

∴ Distance of Port from the Island is 25 miles.

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