if a ship was 500 years away from courtgrown and the courtground if 400yards away from the light house how far would the lighthouse be from the ship ?

Actually, we need more information to determine the distance between the ship and the lighthouse. If the ship is 500 years away from the courtgrown, and the courtgrown is 400 yards away from the lighthouse, we would need to know the distance between the courtgrown and the ship in order to calculate the distance between the ship and the lighthouse.

use the pythagorean theorem to find the anser

To find the distance between the ship and the lighthouse, we can use the Pythagorean theorem.

Let's assume the distance between the ship and the courtgrown is x yards.

According to the information given:
Distance between courtgrown and lighthouse = 400 yards
Distance between ship and courtgrown = x yards

Now, we can set up a right triangle with the ship, the courtgrown (400 yards away from the lighthouse), and the lighthouse.

Using the Pythagorean theorem:
(400)^2 + x^2 = distance between ship and lighthouse^2

(400)^2 + x^2 = distance between ship and lighthouse^2
160,000 + x^2 = distance between ship and lighthouse^2

As we do not have the specific value of x, we cannot calculate the exact distance between the ship and the lighthouse without it.