The pole

A 4 m bullet supports the telegraph pole. It is at 3/4 of pole height, and the end is at a distance of 2.5 m from the pole post. Calculate the height of the telegraph pole.

Correct answer:

x =  4.1633 m

Step-by-step explanation:

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

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