Step-by-step explanation:
solve the equation with formula : SOH, CAH,TOA.
from the above, SOH is to be used to answer the question.
so, Sin∆=Opp/Hyp
∆=41°
Opposite=AB
Hyp= 13.5cm
sin 41°=AB/13.5
sin41°=0.6560
0.6560= AB/13.5
AB=13.5*0.6560
AB=8.856cm
to three significant figure AB=8.86 cm approximately
The length of side AB is 8.856cm
Here we have to apply the sin formula
Since
[tex]Sin = Opp\div Hyp[/tex]
[tex]sin 41=AB\div 13.5\\\\sin41=0.6560\\\\0.6560= AB\div 13.5\\\\AB=13.5\times 0.6560\\\\[/tex]
AB=8.856cm
= 8.86 cm
Therefore, we can conclude that The length of side AB is 8.856cm
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