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

Answer:

Therefore,

42 feet tall is the flag pole.

Step-by-step 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

$AC^{2}=AB^{2}+BC^{2}\\\\AB^{2}=AC^{2}-BC^{2}=58^{2}-40^{2}=1764\\\\AB=\sqrt{1764}=42\ feet$

Therefore,

42 feet tall is the flag pole.