The distance d is 18 feet.
The height of the tower is 24 feet.
Explanation:
The length of the wire is 30 feet.
The height of the tower is
where d is the distance of the towers base to the end of the wire.
Using Pythagorean theorem, we have,
Simplifying, we have,
Using quadratic formula, we shall determine the value of d.
Thus, we have,
and
Since, the value of d cannot be negative.
Thus,
Hence, the distance from the tower's base to the end of the wire is 18 feet.
Substituting in , we get,
Thus, the height of the tower is 24 feet.