Question

Running from the top of a flagpole to a hook in the ground there is a rope that is 58 feet long. If the hook is 40 feet from the base of the flagpole, how y'all is the flagpole?

Answer 1

Therefore,

42 feet tall is the flag pole.

Explanation:

Given:

Let the top of the flag pole be denoted as A, Base of flag pole as B, and the hook on the ground as C as shown in the figure,

Such that,

Length of rope from the top of flag pole = AC = 58 feet

Length between flag pole base and the hook = BC = 40 feet

To Find:

Length of flag pole = AB = ?

Solution:

In Right Angle Triangle ABC, By Pythagoras theorem

`(\textrm{Hypotenuse})^(2) = (\textrm{Shorter leg})^(2)+(\textrm{Longer leg})^(2)`

Substituting the values we get

`AC^(2)=AB^(2)+BC^(2)\\\\AB^(2)=AC^(2)-BC^(2)=58^(2)-40^(2)=1764\\\\AB=√(1764)=42\ feet`

Therefore,

42 feet tall is the flag pole.