Answered

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There is a rope running from the
top of a flagpole to a hook in the
ground. The flagpole is 6 meters
high, and the hook is 8 meters
from its base. How long is the
rope?

Sagot :

p1ands1gma

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!

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