A triangle has sides A, B, and C. The angle between sides A and B is #(5pi)/12#. If side C has a length of #5 # and the angle between sides B and C is #pi/12#, what is the length of side A?
1 Answer
Feb 22, 2016
≈ 1.34 units
Explanation:
This is a right triangle.
since
# (5pi)/12 + pi/12 = (6pi)/12 = pi/2 # hence the angle between A and C
# = pi - pi/2 = pi/2# To find A then , use
#color(blue)" tangent trig ratio "#
#rArr tan(pi/12) = A/C rArr A = Ctan(pi/12) = 5tan(pi/12) ≈ 1.34#
