A boy standing on floor made of mirror has a wall in front of him which is hollow from bottom (as shown in the figure).
Let the maximum mirror that this boy can utilize to see anything on the other side of wall has endpoints and .
Find sum of angle of incidences (in degrees) made by two (separate) light rays falling on and .
Give your answer up to 2 decimal places.
Details and Assumptions
Consider the eye distance from ground to be equal to height of boy.
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t a n θ = A B A E = B F D F = A B + B F A E + D F = 2 1 . 7 + 1 ⇒ θ = 5 3 . 4 7 o , tan ϕ = A C A E = F C D F = A C − F C A E − D F = 2 1 . 7 − 1 ⇒ ϕ = 1 9 . 2 9 o I n c i d e n t a n g l e s a r e 9 0 o − θ & 9 0 o − ϕ s o t h e i r s u m , A n s = 1 8 0 o − θ − ϕ = 1 0 7 . 2 4 o