Find the volume of the prism1: 29 cubic cm 2: 819 cubic cm3: 208 cubic cm
1 answer:
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Answer:
a) The length of segment AC is approximately 5.83 centimeters.
b) The angle ACD is approximately 34.5º.
Step-by-step explanation:
a) Since , the length of segment
is determined by Pythagorean Theorem, that is:
The length of segment AC is approximately 5.831 centimeters.
b) Since , the length of segment
is determined by this Pythagorean identity:
The angle ACD is determined by the following trigonometric expression:
The angle ACD is approximately 34.448º.
Remark
This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.
Step One
Set up the sine Law.
Step Two
Substitute values
Sin(x) = ??
sin(75) = 0.9659
Step Three
Cross multiply and Solve
22* Sin(x) = 12 * 0.9659
22* Sin(x) = 11.591 divide by 22
sin(x) = 11.591 / 22
sin(x) = 0.5269
Step Four
You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.
x = sin^-1(0.5269)
2nd F
Sin^-1
(
0.5269
)
=
You should get 31.79 degrees.