Final answer:
To find the height of the tower, we can use the Pythagorean theorem to set up an equation.
Step-by-step explanation:
To find the height of the tower, we need to establish a relationship between the height of the tower and the length of the guy wire.
Let's assume the height of the tower is h meters. According to the given information, the guy wire is 5 meters longer than the height of the tower, so the length of the guy wire is (h + 5) meters.
Since the guy wire is anchored 15 meters from the foot of the tower, it forms a right triangle with the tower. Using the Pythagorean theorem, we can write the following equation:
(h + 5)^2 = h^2 + 15^2
Solving this equation will give us the height of the tower, h.