Grades 11-12 Video Solutions 2010-11&12 Video Solutions 2010 problem25

11&12 Video Solutions 2010 problem25

Video Transcription

Video Summary

The question involves finding the ratio of side lengths of two squares, A to B, where the larger square's side is A and the smaller is B. The diagram involves intersecting lines at a 30-degree angle and diagonal orientation, forming a 45-degree angle with the side B. By analyzing angles, the angle α is computed as 15 degrees. The tangent of this angle is calculated using trigonometric identities, which ultimately finds that the ratio A to B is 2 plus root 3 to 1. The correct answer is option B, 2 + √3 to 1.

Keywords

ratio

squares

trigonometry

angle

calculation