Sprinkler - irrigated area

A sprinkler is located in the park at a distance of 3 m from the sidewalk. Water blasted up to a distance of max. 5 m. What is the maximum length of the sidewalk it will cover?

Final Answer:

x =  8 m

Step-by-step explanation:

$$\begin{gathered} r=5\text{m} \\ v=3\text{m} \\ {r}^2=v^2+(x/2{)}^2 \\ x=2\cdot \sqrt{r^2-v^2}=2\cdot \sqrt{5^2-3^2}=8\text{m} \end{gathered}$$

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