Answer:
<em>The person on the ship can see the lighthouse </em>
Step-by-step explanation:
<u>The Circle Function </u>
A circle centered in the point (h,k) with a radius r can be written as the equation
Any point (x,y) can be known if it's inside of the circle if
The question is about a beam of a lighthouse than can be seen for up to 20 miles. If we assume the lighthouse is emitting the beam as the shape of a circle centered in (0,0), then its radius is 20 miles. Thus any person riding a ship inside the circle can see the lighthouse. This means that
The ship's coordinates respect to the lighthouse are (10,16). We should test the point to verify if the above inequality stands
The inequality is true, so the person on the ship can see the lighthouse