Question

A storm is brewing, and the ship must make it to the

Answer 1

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.

$\text{Hypotenuse}^2=50^2+130^2$

$\text{Hypotenuse}^2=2500+16900$

$\text{Hypotenuse}^2=19400$

Taking square root on both sides, we get

Hypotenuse = $10\sqrt{194}$

Hypotenuse = 139.28 km

The distance between the ship and the light house is 139.28 km.