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)Responsesx = 225 feet; the distance from the lighthouse to the ship must be the longest distancex = 225 feet; the distance from the lighthouse to the ship must be the longest distancex = 15 ft; the distance from the lighthouse to the ship must be the shortest distancex = 15 ft; the distance from the lighthouse to the ship must be the shortest distancex = 15 ft; the distance from the top of the lighthouse to the ship must be the longest distancex = 15 ft; the distance from the top of the lighthouse to the ship must be the longest distancex = approximately 24.5 yards; from the top of the lighthouse to the boat must be the shortest distancex = approximately 24.5 yards; from the top of the lighthouse to the boat must be the shortest distanceSkip to navigation
The distance from the lighthouse to the ship horizontally can be calculated using the Pythagorean theorem:
distance = sqrt(25^2 - 20^2) = sqrt(625 - 400) = sqrt(225) = 15 ft
Therefore, x = 15 ft; the distance from the lighthouse to the ship must be the shortest distance.