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 = 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 = 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 = 15 ft; the distance from the lighthouse to the ship must be the shortest distance
x = 15 ft; the distance from the lighthouse to the ship must be the shortest distance

x = approximately 24.5 yards; from the top of the lighthouse to the boat must be the shortest distance

The horizontal distance from the lighthouse to the ship is 15 ft; the distance from the lighthouse to the ship must be the shortest distance.

is this correct?

No, the correct answer is:

x = 15 ft; the distance from the lighthouse to the ship must be the longest distance

This is because the light beam from the lighthouse to the ship is 25 ft long, so the horizontal distance from the lighthouse to the ship must be at least 25 ft in order for the light beam to reach the ship.