In triangle b. we know that tan(x) = Opposite side to x angle / Adjacent side to angle x.
By substituting in above formula,
tan(x) = 12/5 = 2.4
x = tan^-1(2.4) = 68 degrees.
And in triangle a. i am not clear with the angle. Is it 51 or any other?
Answer: 10380cm^3
Explanation:
Find the volume of half cylinder:
V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3
Find the volume of the rectangle:
V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3
Find the volume of the whole shape:
V = 1980 + 8400
V = 10380cm^3
4/6=66.67%
5/8=62.5%
Therfore 4/6 is bigger than 5/8
The answer is between 45,000,000-65,000,000