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 37, what is the area of the triangle?
A given angle is
Now we now that this triangle is a right triangle because it contains a 90º angle. Another given angle is
The tangent trigonometric function
Now we can solve for A, the height of the triangle, and get:
Now we can find the area of our triangle by using the formula for the area of triangles and plugging in our values: