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
