Question

What is sin B? Enter your answer, as a simplified fraction

Answer 1

◆ APPLICATIONS OF TRIGONOMETRY ◆

$using \: pythagoras \: theoram \: - \\ \\ {(ab)}^{2} = {(ac)}^{2} + {(bc)}^{2} \\ \\ {(20)}^{2} = {(ac)}^{2} + {(16)}^{2} \\ \\ {(ac) }^{2} = {(20)}^{2} - {(16)}^{2} \\ \\ {(ac)}^{2} = 400 - 256 \\ \\ {(ac)}^{2} = 144 \\ \\ ac = 12 \\ \\ \\ sin \: b \: = \frac{ac}{ab} = \frac{12}{20} \\ \\ after \: simplifying \: - \\ \\ sin \: b \: = \frac{3}{5} \: \: \: \: \: ans.$

Answer 2

   (sin)b= 12/20=3/5
sin B= 3/5