Plane And Spherical Trigonometry, And Surveying

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Solve the quadrantal triangle whose sides are : a = 174° 12^ 49.1^^ b= 94° 8^20'^, c = 90°.
128 TRIGONOMETRY.
Let A^, B^, C, a\ ¥, c' repre- sent the corresponding angles and sides of the polar triangle.
Then A'^ 5=> 47^ 10.9^^, B'= 85° bV W\ C^= 90°.
tan^ \ c' = - cos {B'+A') sec {B^-A').
B'+ A^= 91° 38^ 50.9^^ B^- A^= 80° 4^ 29. F^.
log cos (5^+ J-O =8.45863 log sec (^^- .40 = 0.76356 2 )9.22219 log tan Jc^ = 9.61110 Jc^= 22° 12^561^^.
c^ = 44° 25^ 53^^.
C==135°34^ 7^^ tan2 J b'= tan [J {B'+
...A^ - 45°] tan[45°+H^^-^0]- J (^^+ .SO - 45° = 49^ 25.5^^ 45° + i {B'- A^) = 85° 2^ 14.6^^ log tan 0° 49^ 25.5^^= 8.15770 log tan 85° 2^4.6^^= 11.06133 2) 9.21903 log tan 1 6^= 9.60952 J&^= 22° 8^35^^ 6^= 44° 17^ 10^^.
5 =135° 42^ 50^^ tan2 J a'= tan [J (^^+ ^0 - 45°] tan[45°-H^'-^0]- H-S^+^0 - 45° = 0° 49^ 25.5^^.
45° - J {B'-A') = 4° 57^ 45.4^^ log tan 0° 49^ 25.5^^= 8.15770 log tan 4° 57^ 45.4^/= 8.93867 2 ) 7.0963 7 log tan ^a^= 8.54819 ia^= 2° 1^25^''.
a^= 4° 2^50^^.


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