Question

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

shore as quickly as possible. Use the image below to
find the distance between the ship and the light house.
50 km
130 km

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√(194)`

Hypotenuse = 139.28 km

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