# The pole

The telegraph pole is supported by a 4 m bullet at 3/4 of its height, the end of which is at a distance 2.5 m from the pole post. Calculate the height of the telegraph pole.

Result

x =  4.163 m

#### Solution:

$c=4 \ \text{m} \ \\ a=2.5 \ \text{m} \ \\ b=\sqrt{ c^2-a^2 }=\sqrt{ 4^2-2.5^2 } \doteq 3.1225 \ \text{m} \ \\ b=3/4 \ x \ \\ x=4/3 \cdot \ b=4/3 \cdot \ 3.1225 \doteq 4.1633 \doteq 4.163 \ \text{m}$

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