The figure shows a meter stick lying on the bottom of a 100-cm-long tank with it

Question

The figure shows a meter stick lying on the bottom of a 100-cm-long tank with its zero mark against the left edge. You look into the tank at a 30? angle, with your line of sight just grazing the upper left edge of the tank.

PART A

What mark do you see on the meter stick if the tank is empty?

Express your answer using two significant figures.

L = ? cm

PART B

What mark do you see on the meter stick if the tank is half full of water?

Express your answer using two significant figures.

L = ? cm

PART C

What mark do you see on the meter stick if the tank is completely full of water?

Express your answer using two significant figures.

L = ? cm

Explanation / Answer

(A)
Angle that Line of Sight makes with the Vertical, 60o
tan(60) = L/50
L = 50 * tan(60) cm
L = 86.6 cm

(B)
tan(60) = L1/25
L1 = 25 * tan(60) cm
L1 = 43.3 cm

Using Snell's Law,
1*sin(60) = 1.33 * sin()
= 40.6 o

tan(40.6) = L2/25
L2 = 25 * tan(40.6)
L2 = 21.43 cm

Now, L = L1 + L2
L = 43.3 + 21.43
L =  64.73 cm

(C)
Using Snell's Law,
1*sin(60) = 1.33 * sin()
= 40.6 o

tan(40.6) = L/50
L = 50 * tan(40.6)
L = 42.85 cm

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