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 45, what is the area of the triangle?
the angle between A and B =
In a right-angled triangle, the tan of an angle =
Substituting in the known values
Rearranging and simplifying
The area of a triangle =
Substituting in the values