A person is standing in the room of width 200 cm A plane mirror of vertical length 10 cm - Physics - Ray Optics And Optical Instruments

Question

A person is standing in the room of width 200 cm A plane mirror of
vertical length 10 cm is fixed on the wall in front of the person
The person looks into the mirror from distance 50 cm How much
width(height) of the wall behind him will he be able to see

Kiruthika · Accepted Answer

Dear student,

The width of room is 200 cm,vertical height of mirror is 10
cm,distance of person from the mirror is 50 cm

Consider two triangles,
In first triangle tanθ=x200  →eqn 1In second triangle tanθ=550  →eqn 2Equating the above equation 550=x200x=20 cm
The height of wall is 2x+10=50 cm

The width of wall he will be able to see is 50 cm

Regards

A person is standing in the room of width 200 cm. A plane mirror of vertical length 10 cm is fixed on the wall in front of the person.The person looks into the mirror from distance 50 cm. How much width(height) of the wall behind him will he be able to see.