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.

Correct result:

x =  4.1633 m

Solution:

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

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