Plane trigonometry, by S.L. Loney.

198

TRIGONOMETRY.

[Exs. XXX.]

2. If a=21, b=11, and C= 34~ 42'30", find A and B, given
log 2 = *30103
and L tan 72~ 38' 45" = 10-50515.
3. If the angles of a triangle be in A. p. and the lengths of the greatest
and least sides be 24 and 16 feet respectively, find the lengths of the third
side and the other angles, given
log 2 = -30103, log 3 = -4771213,
L tan 19~ 6'= 9-5394287, diff. for 1'= 4084.
4. If a=13, b=7, and C7=60~, find A and B, given that
log 3 = 4771213,
L tan 27~ 27'= 9-7155508, tabulated diff. for 1'= 3087.
5. If a=2b, and C=120~, find the values of A, B, and the ratio of c
to a, given that
log 3= 4771213,
L tan 10~ 53' = 9283907, diff. for 1'= 6808.
6. If b = 14, c = 11, and A = 60~, find B and C, given that
log 2 = 30103, log 3 = 4771213,
L tan 11~ 44'= 9 -3174299,
and L tan 11~ 45'= 9-3180640.
7. The two sides of a triangle are 540 and 420 yards long respectively
and include an angle of 52~ 6'. Find the remaining angles, given that
log 2 = -30103, L tan 26~ 3'= 9-6891430,
L tan 14~ 20'= 9-4074189, L tan 14~ 21' = 94079453.
8. If b=21ft., c=2 ft., and A=22~ 20', find the other angles, and
shew that the third side is nearly one foot, given
log 2 = 30103, log 3 = 4771213,
L cot 11~ 10' = 10-70465, L sin 22~ 20' = 9-57977,
L tan 29~ 22' 20"= 9-75038, L tan 29~ 22' 30"= 975043,
and L sin 49~ 27' 34" = 988079.