Question

What is sin B?

Enter your answer, as a simplified fraction

Answer 1

(sin)b= 12/20=3/5
sin B= 3/5

Answer 2

◆ 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 \: = (ac)/(ab) = (12)/(20) \\ \\ after \: simplifying \: - \\ \\ sin \: b \: = (3)/(5) \: \: \: \: \: ans.`