Question

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?

Answer 1

10 meters

Explanation:

Use the Pythagorean Theorem for this one:

`a^(2) + b^(2) = c^(2)`

If a = 6, b = 8, then:

`a^(2) + b^(2) = c^(2)`

`6^(2) + 8^(2) = c^(2)`

`\sqrt{6^(2) + 8^(2)} = c`

`√(36 + 64) = c`

`√(100) = c`

`10 = c`

`c = 10`

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!