This is really a hard to answer question and 90% of high school graduates do not know the question.It is about the high power flashlight. A night watchman entered into an aquarium in the middle night because he heard the noise of flipping inside. A thief or an otter? He thought and threw light with his high power flashlight .
This high power flashlight generated a parallel beam from the end side of aquarium and illuminated a fish. Now what we know are as follows:
1)Angle of the beam with respect to the horizontal base of the aquarium is θ1 = 46.0 2)the 1000 lumen flashlight is 40 cm away from the glass window. 3) Glass thickness=10 cm 4) The fish inside is 50 cm from the other side. 5) Refractive index: nwater=1.33, nglass:1.52 nair:1.00 Below is a drawing to show you.
Now, the question is:What is the distance y between the fish and the bottom of the aquarium and the real position of the fish?