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

1 answer

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.