In the diagram below, we know tan theta = 1/2. Find the area of the triangle.
If tan (theta) =1/2....then y = 1 and x = 2
So r = sqrt (1^2 + 2^2 ) = sqrt (5)
So.....sin (theta) = 1/sqrt (5)
Area of triangle = (1/2) (40)(60) * sin (theta) = (1/2) (2400) / sqrt (5) =
1200 /sqrt (5) = 1200sqrt (5) / 5 = 240 sqrt (5) units