# Calculate the Horizontal Length After Slope Correction of Tape

## Calculate the Horizontal Length After Slope Correction of Tape

Mathematical Problem:

The downhill end of the 30 m tape is held 70 cm too low. What is the horizontal length?

Calculate the length of vector
Calculate the length of vector

Solution:

Given,

l = Length of the tape = 30 m.
h = 70 cm = 0.70 m

Correction for slope = $\large \frac{h^{2}}{2l}$ = $\large \frac{0.7^{2}}{2\times 30}$ = 0.00817 m.

Hence, the horizontal length = 30 – 0.00817 = 29.99183 m