Class 10 Exam  >  Class 10 Questions  >  A person of height 1.8 standing at the centre... Start Learning for Free
A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishes
to see the full image of the back wall in the mirror fixed on the front wall. The minimum height
of the plane mirror needed for this purpose is
 
  • a)
    0.9 m
  • b)
    1.8 m
  • c)
    10/3 m
  • d)
    10 m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A person of height 1.8 standing at the centre of a room having equal d...
In this ray diagram h is the height of the man. 

Form this ray diagram we can see that the minimum height of the plane mirror is 90 cm, so that the man can see his full image. ( which is equal to half of the height of the man)
View all questions of this test
Most Upvoted Answer
A person of height 1.8 standing at the centre of a room having equal d...
Free Test
Community Answer
A person of height 1.8 standing at the centre of a room having equal d...
Given, the person's height (h) = 1.8 m and the dimensions of the room (l, b, h) = 10 m

To see the full image of the back wall in the mirror, the person needs to see the top of the back wall from the mirror. This can happen only if the angle of incidence (i) equals the angle of reflection (r) and the reflected ray passes through the top of the back wall.

Let the height of the mirror be 'x' meters above the ground.

Now, the person's eye, the bottom of the mirror, and the top of the back wall form a right-angled triangle.

Using trigonometry, we can say:

tan i = h/l
tan r = h/l
tan (i + r) = (h + x)/l

Adding the first two equations, we get:

tan (i + r) = 2h/l

Substituting this in the third equation, we get:

2h/l = (h + x)/l
x = h

Therefore, the minimum height of the mirror needed is equal to the height of the person, i.e., 1.8 m. Hence, the correct option is C.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishesto see the full image of the back wall in the mirror fixed on the front wall. The minimum heightof the plane mirror needed for this purpose isa)0.9 mb)1.8 mc)10/3md)10 mCorrect answer is option 'C'. Can you explain this answer?
Question Description
A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishesto see the full image of the back wall in the mirror fixed on the front wall. The minimum heightof the plane mirror needed for this purpose isa)0.9 mb)1.8 mc)10/3md)10 mCorrect answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishesto see the full image of the back wall in the mirror fixed on the front wall. The minimum heightof the plane mirror needed for this purpose isa)0.9 mb)1.8 mc)10/3md)10 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishesto see the full image of the back wall in the mirror fixed on the front wall. The minimum heightof the plane mirror needed for this purpose isa)0.9 mb)1.8 mc)10/3md)10 mCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishesto see the full image of the back wall in the mirror fixed on the front wall. The minimum heightof the plane mirror needed for this purpose isa)0.9 mb)1.8 mc)10/3md)10 mCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishesto see the full image of the back wall in the mirror fixed on the front wall. The minimum heightof the plane mirror needed for this purpose isa)0.9 mb)1.8 mc)10/3md)10 mCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishesto see the full image of the back wall in the mirror fixed on the front wall. The minimum heightof the plane mirror needed for this purpose isa)0.9 mb)1.8 mc)10/3md)10 mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishesto see the full image of the back wall in the mirror fixed on the front wall. The minimum heightof the plane mirror needed for this purpose isa)0.9 mb)1.8 mc)10/3md)10 mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishesto see the full image of the back wall in the mirror fixed on the front wall. The minimum heightof the plane mirror needed for this purpose isa)0.9 mb)1.8 mc)10/3md)10 mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A person of height 1.8 standing at the centre of a room having equal dimensions of 10 m wishesto see the full image of the back wall in the mirror fixed on the front wall. The minimum heightof the plane mirror needed for this purpose isa)0.9 mb)1.8 mc)10/3md)10 mCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev