Question

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 ?

Answer 1

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.