Answer :
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
[tex](\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}[/tex]
Substituting the values we get
[tex]AC^{2}=AB^{2}+BC^{2}\\\\AB^{2}=AC^{2}-BC^{2}=58^{2}-40^{2}=1764\\\\AB=\sqrt{1764}=42\ feet[/tex]
Therefore,
42 feet tall is the flag pole.
