# Thales

Thales is 1 m from the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm as shown. Calculate the depth of the hole.

Result

h2 =  1.8 m

#### Solution:

$h_{ 1 }=150 \ cm=150 / 100 \ m=1.5 \ m \ \\ x_{ 1 }=1 \ \text{m} \ \\ x_{ 2 }=1.2 \ \text{m} \ \\ h_{ 1 }:x_{ 1 }=h_{ 2 }:x_{ 2 } \ \\ \ \\ h_{2}=h_{ 2 }=h_{ 1 } \cdot \ \dfrac{ x_{ 2 } }{ x_{ 1 } }=1.5 \cdot \ \dfrac{ 1.2 }{ 1 }=\dfrac{ 9 }{ 5 }=1.8 \ \text{m}$

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