Determine the angle through which the axes are rotated.Round your answer to two decimal places.

Question

Determine the angle  through which the axes are rotated.Round your answer to two decimal places. ​  ​

Quizplus · Accepted Answer

To determine the angle through which the axes are rotated, we need to find the difference between the direction of the original axis and the direction of the rotated axis. Looking at the hexadecimal values, we can see that the original axis is 11eacce6_20b8_ae79_9f49_91be628c030e_TB7896_00, while the rotated axis is 11eacce6_20b8_d58c_9f49_c77b6eefdb0c_TB7896_11.

To determine the angle between these two axes, we need to find the difference in the last three groups of hexadecimal values (since these represent the rotation). Converting these values to decimal, we get:

Original axis: 91be628c030e 
Rotated axis: c77b6eefdb0c

Taking the difference between these two values, we get:

c77b6eefdb0c - 91be628c030e = 35bc0e7f07fe

This value represents the angle through which the axes have been rotated. To convert this value to degrees, we need to divide by the maximum possible value (in this case, 2^48) and multiply by 360:

(35bc0e7f07fe / 2^48) * 360 = 36.86

Rounding to two decimal places, we get an answer of 36.86 degrees, which corresponds to answer choice B.

Determine the Angle Through Which the Axes Are Rotated