Question

Meeru has lost her way home and was standing 25 meters away from her house in the south-west direction. she walks 20 meters north and reaches point

a. how far and in which direction would she have to walk to reach her house?

Answer 1

It is given Meeru  is 25 meters away from her house in the south-west direction.Then she walks 20 meters north and reaches point .A right angle triangle is formed with hypotenuse equal to 25 meters and one leg of the triangle as 20 meters.We can use Pythagoras Theorem to find the unknown leg of the triangle which will give us the distance Meeru needs to travel in Est direction to reach her home.Let the distance Meeru needs to cover to reach her home be x.

$x^{2}+20^{2}=25^{2}.$

Or ,$x^{2}+400=625.$

Subtracting 400 both sides:

$x^{2}=22.$

Taking root of both sides x=15.

Meeru will travel 15 m in east direction to reach her home.

Answer 2

Answer:

15 meters far and west direction