If the bathroom door has a hinge at Bi and opens into the bedroom, will it hit the wardrobe? Class 9

If the bathroom door has a hinge at Bi and opens into the bedroom, will it hit the wardrobe? Class 9

Question 1.

If the bathroom door has a hinge at Bi and opens into the bedroom, will it hit the wardrobe? Are there any changes you would suggest if the door is made wider? Class 9

Solution:

B₁ (0,1) and B₂ (0, 4)

Width of the bathroom door = 4 - 1 = 3 ft

Distance of the wardrobe from B₁ = 3 ft

∴ The bathroom door will just touch the wardrobe.

The door should not be made wider; it should be made narrower to avoid collision.