You are standing on the edge of a swimming pool and looking directly across at t

Question

You are standing on the edge of a swimming pool and looking directly across at the opposite side. You notice that the bottom edge of the opposite side of the pool appears to be at an angle of 27.7° below the horizontal. However, when you sit on the pool edge, the bottom edge of the opposite side of the pool appears to be at an angle of only 13.7° below the horizontal. Use these observations to determine the width and depth of the pool. Hint: You will need to estimate the height of your eyes above the surface of the water when standing and sitting. (Assume 1.7 m when standing and 0.7 m when sitting.)

FIND THE

A- width = m

B- depth = m

Explanation / Answer

tan27.7 = 1.7+d/w = 0.53====> 1.7 + d = 0.53w........(1)

tan13.7 = 0.7+d/w = 0.24========> 0.7 + d = 0.24w...........(2)

1-2

1 = (0.53 - 0.24)*w

w = 3.45 m

from 1

1.7 + d = 0.53*3.45

d = 0.1285 m

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