In triangle ABC, a=8, b=15, and m<C=40 degrees. Find the area of the triangle to one decimal place.

You can call b the base of the triangle. The height of the triangle, measured perpendicular to that base, is a sin C = 5.14. The area is

A = (1/2) base * height = (1/2)*8*5.14

Multiply and round off as called for.