We wish to determine the depth of a swimming pool filled with water ( n = 1.33)

Question

We wish to determine the depth of a swimming pool filled with water

(n = 1.33) by measuring the width (x = 5.30m ) and then noting that the far bottom edge of the pool is just visible at an angle of ? = 13.0? above the horizontal as shown in (Figure 1) .

Calculate the depth of the pool.

We wish to determine the depth of a swimming pool filled with water (n = 1.33) by measuring the width (x = 5.30m ) and then noting that the far bottom edge of the pool is just visible at an angle of ? = 13.0? above the horizontal as shown in (Figure 1) . Calculate the depth of the pool.

Explanation / Answer

n1*sin (theta1) = n2*sin(theta2)

theta2 = 90-13 = 77 degrees

1.33 sin(theta1) = 1.00*sin(77)

theta1 = 47.10 degrees

depth d = d*tan(theta1) =5.30

d= 4.925 m

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