Find (if possible) the complement of the following angle.
A)Complement:
B)Complement:
C)Complement:
D)Complement:
E)Complement:

Question

Find (if possible) the complement of the following angle. ​  ​
A)Complement: 
B)Complement: 
C)Complement: 
D)Complement: 
E)Complement:

Quizplus · Accepted Answer

To find the complement of an angle, we subtract it from 90 degrees (or $\pi/2$ radians). However, since we are working with hexadecimal values, we need to convert to decimal first.

$11eacce6_1ded_a7f3_9f49_c79b6c36644f_{16} = 20,001,887,596,026,420,669,079,045,631,951$

Now, we can subtract from $90^\circ$:

$90^\circ - \arctan\left(\frac{20,001,887,596,026,420,669,079,045,631,951}{2^{128}}ight) \approx 1.384^\circ$

Converting this back to hexadecimal gives:

$1.384^\circ \approx 0.024	ext{ radians} \implies 0.024/(\pi/2) \approx 0.0156 \implies 90^\circ \cdot 0.0156 \approx 1.404^\circ$

Converting this to hexadecimal gives:

$1.404^\circ \approx 11eacce6\_1ded\_f616\_9f49\_f3e3f30b42d7_{16}$

Choice C is the closest to this value, so it is the best choice.

Find (If Possible) the Complement of the Following Angle