How should I do this question that is in the image below?45

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Answer 1 · 2018-06-03T14:40:25

#angle H=64^@10'18'',angle I=60^@49'42'',h=16.4#

use the sine rule

#:.(sin angle I)/19.4=(sin angle G)/18.2#

#:.sin angle I= (sin 55^@ xx 19.4)/18.2#

#:.sin angle I=0.873162069#

#:.angle I=60^@49'42''#

#:.180-(60^@49'42''+55^@)=64^@10'18''= angle H#

#:.(GI)/(sin angle H)=(HI)/(sin angle G)#

#:.(GI)/(sin 64^@10'18'')=18.2/(sin 55^@)#

#:.GI=18.2 xx sin 64^@10'18''#

#:.GI=16.38188252cm=16.4cm " to the nearest one decimal place"#