Final answer:
The height of the tower is 10 meters.
Step-by-step explanation:
To find the height of the tower, we can use the tangent function. Tangent is defined as the ratio of the opposite side to the adjacent side. In this case, the opposite side is the height of the tower, and the adjacent side is the length of its shadow.
If we let x represent the height of the tower, we have the equation tan(45°) = x/10. Solving for x, we get x = 10 * tan(45°) = 10 meters.
Therefore, the height of the tower is 10 meters.