A triangle has sides A,B, and C. If the angle between sides A and B is #(pi)/2#, the angle between sides B and C is #pi/12#, and the length of B is 4, what is the area of the triangle?
The area of the triangle is:
This is a right triangle, where
In a right triangle the ratio between the legs equals the tangent of the angle opposite the leg at the numerator, so that we have:
And the area is: