Answer:
ab = 48 cm
Step-by-step explanation:
Supposing ABC is a right angled triangle where m∠B = 90°, ac = 96 cm and c = 30°, we are to find the length of the side ab in cm.
For this, we will use the trignometric ratios to find ab.
[tex] sin B = \frac { a b } { a c } [/tex]
[tex] sin 30 = \frac { a b } { 9 6 } [/tex]
[tex]\frac{1}{2} =\frac{ab}{96}[/tex]
[tex]96=2ab[/tex]
[tex]ab=\frac{96}{2}[/tex]
ab = 48 cm
