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 m a=2.5 m b=c2−a2=42−2.52≐3.1225 m b=3/4 x x=4/3⋅ b=4/3⋅ 3.1225≐4.1633≐4.163 mc=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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