Given:
The angles are:
Example 
1. 
2. 
3. 
4. 
5. 
To find:
The complimentary angle of the given angles.
Solution:
If two angles are complimentary, then their sum is 90 degrees.
Example: Let x be the complimentary angle of , then
Similarly,
1. The complimentary angle of is:
2. The complimentary angle of is:
3. The complimentary angle of is:
4. The complimentary angle of is:
5. The complimentary angle of is:
Therefore, the complimentary angles of 
are 
respectively.
The second one is the correct equation. The constant to the right should be the diameter squared, while the numbers inside the parentheses should be the opposite.
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ANSWER
EXPLANATION
We were given that
varies directly as
We can write this mathematically as,
This implies that,
where k is the constant of variation.
This implies that,
The equation becomes
When
The given info is sufficient to warrant the conclusion that both triangles are 45-45-90 triangles.
The measure of angle B is 45 degrees, or pi/4 radians.
The cosine of this angle B is 1/√2, or √(2)/2. This is approx. 0.707.
