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 = 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 = 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 lighthouse to the ship must be the shortest distance
The correct statement is: 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:
(25 ft)^2 = (20 ft)^2 + x^2
625 = 400 + x^2
225 = x^2
x = 15 ft
So, the distance from the lighthouse to the ship horizontally is 15 ft.