Grades 11-12 Video Solutions 2012-2012_11-12

Video Transcription

Video Summary

The problem involves calculating the distance \( x \) on a rectangular clock with equal intervals between numbers. Given that the distance between 8 and 10 is 12 cm, the angle made between each number is a constant 30 degrees due to the 30-60-90 triangle properties. Therefore, recognizing the geometry of a 30-60-90 triangle, the side lengths are in the ratio 1:√3:2. Consequently, the distance \( x \) between numbers 1 and 2 is calculated to be \( 4√3 \) cm, determined by subtracting proportions of side lengths in the triangle relation.

Keywords

rectangular clock

distance calculation

30-60-90 triangle

angle intervals

geometry