Question

Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A,B and C represent the sofas, V1 and V2 are decorative vases and AQ the aquarium. Find the distance between V1 and the aquarium.

Please help any body thank you

Answer 1

11 units

Explanation:

Given : She has mapped the arrangement on a coordinate pane. A,B and C represent the sofas, V1 and V2 are decorative vases and AQ the aquarium

To Find: The distance between V1 and the aquarium.

Solution:

Referring the given image

We can have the coordinates of V1 and AQ

Coordinates of V1 :
`(x_(1), y_(1)) =(-6,5)`

Coordinates of AQ :
`(x_(2), y_(2)) =(5,5)`

Now To find distance use distance formula

`d=\sqrt{(x_(2)-x_(1))^(2) + (y_(2)-y_(1))^(2)}`

`d=\sqrt{(5-[-6])^(2) + (5-5)^(2)}`

`d=\sqrt{11)^(2) + (0)^(2)}`

`d=\sqrt{11)^(2)}`

`d=√(121)`

`d=11`

Hence The distance between V1 and the aquarium is 11 units