4 ftA wire isneeded tosupport averticalpole 4 feettall. Thecable willbeanchoredto a stake3 feet fromthe baseof thepole. How3 ftA cable of lengthfeet is needed.

SOLUTION
From the image in the question, we can see that it is a right triangle problem.
And we can use the Pythagoras theorem to solve for the length of cable wire needed.
Pythagoras theorem states that:
[tex]\begin{gathered} \text{hypotenuse}^2=opposite^2+adjacent^2 \\ x^2=4^2+3^2 \end{gathered}[/tex][tex]\begin{gathered} x^2=16+9 \\ x^2=25 \\ \text{Take the square roots of both sides:} \\ \sqrt[]{x^2}=\sqrt[]{25} \\ x=5ft \end{gathered}[/tex]Final Answer:
A cable of length 5 feet is needed.