We conclude that the horizontal distance between the ship and the lighthouse is 920.3 feet.
<h3>How to find the ship's horizontal distance from the ship to the lighthouse?</h3>
We can use trigonometry to solve this. We know that the height of the lighthouse is 113 ft, and that the angle of elevation when seen from the ship is 7°.
Then we have a right triangle where we know that one angle measures 7° and the opposite cathetus to this angle measures 113 feet, and we want to find the adjacent cathetus, then we can use the tangent relation.
tan(7°) = 113ft/x
Where x is the opposite cathetus, which is the horizontal distance we want to find.
x = 113ft/tan(7°) = 920.3ft
We conclude that the horizontal distance between the ship and the lighthouse is 920.3 feet.
If you want to learn more about right triangles.
brainly.com/question/2217700
#SPJ1