The distance between the ship and the light house is 139.28 km.
Solution:
The given image shows, it is right triangle.
Height = 50 km
Base = 130 km
Hypotenuse = ?
Using Pythagoras theorem,
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]\text{Hypotenuse}^2=50^2+130^2[/tex]
[tex]\text{Hypotenuse}^2=2500+16900[/tex]
[tex]\text{Hypotenuse}^2=19400[/tex]
Taking square root on both sides, we get
Hypotenuse = [tex]10\sqrt{194}[/tex]
Hypotenuse = 139.28 km
The distance between the ship and the light house is 139.28 km.
