|
E
*eye ....... |
................ |
................ |
N ------------ Z --------- refraction
................ |..... *penny (apparant)
................ | h
................ |.... O penny (real)
T <.. x1..><x2>
----------------------
snell's law of refraction>
sin i / sin r = u(water)/u(air) = 1.333
given > angle EZN = 53.06
i = incident angle = 90 - 53.06 = 36.94
-----------------
sin r = sin 36.94 /1.33 = 0.4508
r = 26.8 deg
=================
tan (r) = x2 / h = tan 26.8 = 0.505
x2 = 0.505 h ----------- (1)
-------------------------
tan 56.06 = EN / x1
x1 = EN /tan 56.06
EN = 116.35198488189 - h
x1 = [116.35198488189 - h] / 1.486
x1 = 0.673 [116.35198488189 - h] --------- (2)
================
x1+x2 = 11.848481776731 >>> given.
===============
0.505 h +0.673 [116.35198488189 - h] = 11.848481776731
- 0.168 h = - 66.45640404878097
h = real depth of penny = depth of water = 395.5738 cm
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