Question

Triangle ABC, angle A = 30° angle B = 90ﾟ, AC = 16 find the length of AB​

Answer 1

$8 \sqrt{3}$

Step-by-step explanation:

$Given, \: \: A=30°, \: \: and \: \: AC=16\\ In \: \: the \: \: given \: \: right \: \: angled \: \: triangle, \\ cosA \: = \frac{AB}{AC} \\ putting \: \: values \\ cos30° = \frac{AB}{16} \\ \frac{ \sqrt{3} }{2} = \frac{AB}{16} \\ AB = 16 \times \frac{ \sqrt{3} }{2} \\ AB = 8 \sqrt{3}$