Online coding and Python classes in Blackpool

The learner converts the Tower's 380 feet to metres, 115.8, and writes a Python function: height equals distance times the tangent of the angle of elevation. Then comes the realistic part. Suppose the angle is misread by up to half a degree either way. For each standing distance the program computes the height it would report at the angle plus half a degree and at the angle minus half a degree, and keeps the larger error. Ignoring the height of the observer's eyes for now, the pattern is clear.

Standing too close is bad: at 20 metres the angle is steep, the tangent changes violently, and a half-degree slip moves the answer by 6.3 metres. Standing too far is bad too: at a kilometre the angle is tiny, so half a degree is a large share of it. The error is smallest in between. A search over every whole metre from 10 to 2,000 puts the sweet spot at 117 metres, almost exactly as far away as the target is high, where the angle is 45 degrees and the worst error is 2.0 metres.

The learner then checks the result with algebra: the relative error is roughly the angle error times 2 divided by the sine of twice the angle, and the sine of 90 degrees is at its largest, so 45 degrees wins. Finally the learner adds eye height, about one and a half metres, and a second source of error, the tape measure, and sees how the ideal distance shifts. Tests check that the function returns exactly 115.8 m for a 45 degree angle at 115.8 m.

Asking how much a small mistake could cost is a habit worth building in code, and a good reason for Blackpool teenagers to keep at it in 2026. The longer argument is in why teenagers should still learn to code in 2026.