We know that
• The height is 5 meters.
,
• The cable is 7 meters long.
Using the given information, we can represent the situation with a diagram.
In the diagram above you can observe that the x is a leg of the right triangle. So, we have to use Pythagorean's Theorem to find x.
[tex]7^2=5^2+x^2[/tex]
Then, we solve for x.
[tex]\begin{gathered} 49=25+x^2 \\ x^2=49-25 \\ x^2=24 \\ x=\sqrt[]{24} \\ x\approx4.9 \end{gathered}[/tex]
Hence, the base of the flagpole is 4.9 meters from the cable, approximately.
