Hydrostatics, Length of a mercury column

[Ishraq Begum]

Homework Statement

What will be the length of mercury column in a barometer tube, when the atmospheric pressure is 75 cm of mercury and the tube is inclined at an angle of 60° with the horizontal direction?

Homework Equations

Pascal's Law

The Attempt at a Solution

l ⋅ sinϑ = h
l = h / sinϑ
l = h / sin 60
l = 75 / 0.86
l = 87.2
but the correct answer given in the textbook is 86.6

 

[gneill]

Use more significant figures for intermediate calculations. Only round results at the end.