How far is it from the lighthouse to the ship horizontally if the lighthouse is 20 ft tall and shines a beam to the ship 25 ft long? Also, which statement is correct? (1 point) Responses x = 225 feet; the distance from the lighthouse to the ship must be the longest distance x = 225 feet; the distance from the lighthouse to the ship must be the longest distance x = approximately 24.5 yards; from the top of the lighthouse to the boat must be the shortest distance x = approximately 24.5 yards; from the top of the lighthouse to the boat must be the shortest distance x = 15 ft; the distance from the top of the lighthouse to the ship must be the longest distance x = 15 ft; the distance from the top of the lighthouse to the ship must be the longest distance x = 15 ft; the distance from the lighthouse to the ship must be the shortest distance
To find the horizontal distance from the lighthouse to the ship, we can use the Pythagorean theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse (25 ft), a is the height of the lighthouse (20 ft), and b is the horizontal distance we're trying to find.
25^2 = 20^2 + b^2
625 = 400 + b^2
225 = b^2
b = sqrt(225)
b = 15 ft
Therefore, the correct statement is: x = 15 ft; the distance from the lighthouse to the ship must be the shortest distance.