The simplest diagram of a 30-60-90 triangle indicates leg lengths of 1 and √3 and hypotenuse 2. Thus, the desired ratio is √3/2. This is the sine of 60° and also the cosine of 30°
Bob has a garden the area is 75 square feet the legnth is 3 times the width solve 75=lw l=3w subsitute 75=3w times w=3w^2 75=3w^2 sdivide by 3 25=w^2 square root 5=width subsitute 3w=l 3 times 5=l l=15