SOLUTION: What is the area of the trapezoid with lower base of 12 cm, upper base of 8 cm if a leg 4 cm long makes an angle of 60 degrees with the lower base?

Algebra ->  Surface-area -> SOLUTION: What is the area of the trapezoid with lower base of 12 cm, upper base of 8 cm if a leg 4 cm long makes an angle of 60 degrees with the lower base?      Log On


   



Question 252275: What is the area of the trapezoid with lower base of 12 cm, upper base of 8 cm if a leg 4 cm long makes an angle of 60 degrees with the lower base?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What is the area of the trapezoid with lower base of 12 cm, upper base of 8 cm if a leg 4 cm long makes an angle of 60 degrees with the lower base?
:
Area of trapezoid: A = %28h%28a%2Bb%29%29%2F2
where
a = 12
b = 8
we have to find h
We can use the sine of 60 to find h
sin(60) = h%2F4
.866 = h%2F4
h = .866 * 4
h = 3.46 cm
:
A = %283.46%2812%2B8%29%29%2F2
A = %283.46%2820%29%29%2F2
A = 69.28%2F2
A = 34.64 sq/cm
:
Hope this made your Christmas Merry!