how far is it from the lighthouse to the ship horizontally if the light house is 20 ft tall and shins a beam to the ship 25 ft long
To find the horizontal distance from the lighthouse to the ship, we can use the Pythagorean theorem since we have a right triangle formed by the lighthouse, the ground, and the line from the lighthouse to the ship.
Let x be the horizontal distance from the lighthouse to the ship.
Using the Pythagorean theorem, we have:
x^2 + 20^2 = 25^2
x^2 + 400 = 625
x^2 = 625 - 400
x^2 = 225
x = √225
x = 15 ft
Therefore, the horizontal distance from the lighthouse to the ship is 15 ft.