Question

Sailaja started from her house and walked 11
km towards west followed by 20 km to her
right. She then took a right turn to walk 6 km
Finally she walked 8 km to her right. What is
the distance between Sailaja's house and her
destination?​

Answer 1

Answer:

13 km

Step-by-step explanation:

Answer 2

Answer:

The distance between Sailaja's house and her destination is 13km.

Step-by-step explanation:

To find the shortest distance that is left between the destination and Sailaja's house, first we need to understand the given problem clearly.

It is given that Sailaja moved 11km towards the west from her house. It means keeping her house to be as a point of reference, she moved 11 km towards the west direction.

Next, she moved 20km to her right. It means that now she has changed her direction from moving from west to north.

After moving 20km towards the north, she moved 6km towards the right. Taking right from north, it is moving towards the south direction.

Now we need to find the distance between the destination and Sailaja's house. For this, we need to find it using the right angled triangle using the Pythogoras theorem.

By doing so, let the legs of the triangle a, b and c be the hypotenuse.

Therefore, the legs of the triangle are,

a = 5km  b= 12km , To find the hypotenuse using Pythogoras thorem, we get,

c = $\sqrt{(12^{2} + 5^{2}) }$

  = $\sqrt{( 144 + 25)}$

  =$\sqrt{169}$

  = 13km

Therefore, the distance between the destination and Sailaja's house is 13km

An illustrative diagram of the problem is attached below for understanding the problem in a better way.

#SPJ2