A tunnel AB 75 m long bears S65 degree E on a downward slope of 30 degree. Another tunnel AC is 50 m long and bears N40

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A tunnel AB 75 m long bears S65 degree E on a downward slope of 30 degree. Another tunnel AC is 50 m long and bears N40

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A tunnel AB 75 m long bears S65 degree

E on a downward slope of 30 degree. Another tunnel AC is 50 m long and bears N40 degree E on an upward gradient of 1 in 5. If a new tunnel is to be constructed connecting B and C, what will be the true length, bearing and slope of this new tunnel?
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