To find the distance from the top of the flag pole to the tip of its shadow, we can use the Pythagorean Theorem.
In this scenario:
- The height of the flag pole represents one leg of a right triangle, which is 20 feet.
- The length of the shadow represents the other leg, which is 15 feet.
- The distance from the top of the flag pole to the tip of the shadow represents the hypotenuse.
According to the Pythagorean Theorem:
\[ a^2 + b^2 = c^2 \]
where \( a \) and \( b \) are the legs of the right triangle and \( c \) is the hypotenuse.
Substituting the values:
\[ 20^2 + 15^2 = c^2 \]
Calculating each term:
\[ 400 + 225 = c^2 \]
\[ 625 = c^2 \]
Now, take the square root of both sides to find \( c \):
\[ c = \sqrt{625} \]
\[ c = 25 \text{ feet} \]
Thus, the distance from the top of the flag pole to the tip of its shadow is 25 feet.
The correct response is 25 feet.