Verified answer

PROBLEM:

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?

GIVEN:

height (shorter leg) = 6 meters

distance (longer leg) = 8 meters

length of the rope (hypotenuse) =?

SOLUTION:

We will use the pythagorean theorem c²=a²+b², where:

• c is the hypotenuse,
• a is the shorter leg, and
• b is the longer leg

Note: We will take the positive value of c since measurements are always positive.

CONCLUSION:

The rope is long.

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