Amanda's school is due west of her house and due south of her friend Shereen's house. The distance between the school and Shereen's house is 2 kilometers and the straight-line distance between Amanda's house and Shereen's house is 7 kilometers. How far is Amanda's house from school? If necessary, round to the nearest tenth.

The Amanda's house is 6.7 km far from her school.

Step-by-step explanation:

From the given information,

Therefore, It can be determined that it forms the right angle triangle.

It is given that,

The distance between the school and Shereen's house is 2 kilometers.

That is, the height of the triangle = 2 km

The straight-line distance between Amanda's house and Shereen's house is 7 kilometers.

That is, the hypotenuse of the triangle = 7 km

Now, the distance between the Amanda's house and her school is the base of the triangle.

To find the base :

Base =

⇒

⇒

⇒

⇒ 6.7 km

Therefore, the Amanda's house is 6.7 km far from her school.