Let's start by converting the angles from degrees to radians:

7°30' = 7 + 30/60 degrees = 7.5 degrees ≈ 0.1309 radians
15° = 15 degrees = 0.2618 radians

Now, we can calculate the values:

2sin(0.1309)cos(0.1309)cos(0.2618)

sin(0.1309) ≈ 0.1306
cos(0.1309) ≈ 0.9914
cos(0.2618) ≈ 0.9649

Plugging the values in:

2 0.1306 0.9914 * 0.9649 ≈ 0.2512

Therefore, the value of 2sin(7°30')cos(7°30')cos(15°) is approximately 0.2512.