A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/2# and the angle between sides B and C is #pi/12#. If side B has a length of 4, what is the area of the triangle?
From the given we know that:
Angle C has measure
Angle A has measure
We know that side b has length 4.
It's helpful to draw a right triangle with hypotenuse c, right angle C, and the rest of the given information filled in.
Since side b is adjacent to angle A we can use tangent to find side a.
I used a calculator for the to numerical values.