1) While you are sitting on a chair at the edge of a 2.0-m-deep swimming pool, y
ID: 1452584 • Letter: 1
Question
1) While you are sitting on a chair at the edge of a 2.0-m-deep swimming pool, your eyes are 1.8 mabove the surface of the water. You see an acorn on the bottom of the pool at a 45 angle below the horizontal.What is the horizontal distance between you and the acorn?
2) A person is 1.8 m tall. Where should he place the top of a mirror on the wall so he can see the top of his head? Assume his eyes are 5.3 cm below the top of his head. Find a minimal vertical distance from the level of the persons eyes to the top of the mirror.
Explanation / Answer
1.Apparent depth = Real depth/Refractive index of water
Apparent depth = 1.8/1.33 = 1.35 m
1.33 = sin x /sin 45
x=70.12 degree
tan x= horizontal distance in pool /Apparent depth
horizontal distance in pool = 3.7 m
2)
The mirror must be half the height of the person, i.e., 0.9 m.
The top of the mirror must be 2.65 cm below the top of the head.
The bottom of the mirror must be 87.35 cm above the floor.
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