Question

there is a rope running from the top of a flagpole to a hook in the ground. the flagpole is 8.5 meters high, and the hook is 3.1 meters from its base. how long is the rope? if necessary, round to the nearest tenth. meters submit

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 8.5\) (height of flagpole), \(b=3.1\) (distance from base to hook), and \(c\) is the length of the rope.
Substitute values: \(c^{2}=8.5^{2}+3.1^{2}\)

Step2: Calculate squares

\(8.5^{2}=72.25\), \(3.1^{2}=9.61\)
So \(c^{2}=72.25 + 9.61=81.86\)

Step3: Find \(c\)

\(c=\sqrt{81.86}\approx9.0\)

Answer:

\(9.0\)