Calculate the Horizontal Length After Slope Correction of the Tape
Mathematical Problem:
The downhill end of the 30m tape is held 70cm too low. What is the horizontal length?
Solution:
Given,
l = Length of the tape = 30 m.
h = 70 cm = 0.70 m
Correction for slope = [latex]\large \frac{h^{2}}{2l}[/latex] = [latex]\large \frac{0.7^{2}}{2\times 30}[/latex] = 0.00817 m.
Hence, the horizontal length = 30 – 0.00817 = 29.99183 m
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