Answer:
10 meters
Step-by-step explanation:
Use the Pythagorean Theorem for this one:
[tex]a^{2} + b^{2} = c^{2}[/tex]
If a = 6, b = 8, then:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]6^{2} + 8^{2} = c^{2}[/tex]
[tex]\sqrt{6^{2} + 8^{2}} = c[/tex]
[tex]\sqrt{36 + 64} = c[/tex]
[tex]\sqrt{100} = c[/tex]
[tex]10 = c[/tex]
[tex]c = 10[/tex]
According to the Pythagorean theorem, if the flagpole is 6 meters high and the hook is 8 meters from its base, the rope is 10 meters long.
Hope this helps!
