From two points A and B on the opposite sides of a tower, the angles of elevation to the top of the tower are 45° and 30°, respectively. If the height of the tower is 120 m, then find the distance between A and B, corrected to two decimal places.

Using the tangent ratio at point A gives the distance from A to the foot of the tower as 120 divided by tan(45°), which is 120 m. At point B, the distance from B to the foot is 120 divided by tan(30°), which equals 120 multiplied by √3, or approximately 207.84 m. The total distance between A and B is the sum of these two distances, 120 + 207.84 = 327.84 m.

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