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.
[tex]h^{2} = a^{2} +b^{2}[/tex]
Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.
[tex]h^{2} = 20^{2} +15^{2}[/tex]
⇒ [tex]h^{2} = 400+225= 625[/tex]
⇒[tex]h^{2} = 625[/tex]
⇒[tex]h= \sqrt{625}= \sqrt{25^{2} }[/tex]
We know [tex]\sqrt{x^{2} } = x[/tex].
∴[tex]h= 25\ miles[/tex]
∴ Distance of Port from the Island is 25 miles.
