# Mirror

How far must Paul place a mirror to see the top of the tower 12 m high? The height of Paul's eyes above the horizontal plane is 160 cm and Paul is from the tower distant 20 m.

Correct result:

x =  2.353 m

#### Solution:

$a=160/100=\dfrac{ 8 }{ 5 }=1.6 \ \text{m} \ \\ x=20/(12+a) \cdot \ a=20/(12+1.6) \cdot \ 1.6=\dfrac{ 40 }{ 17 }=2.353 \ \text{m}$

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