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Strange C2 trig question

Can someone please help me with this question.
The first part says to find the length of AB

I used the sin rule and said sin(42)x11.4/sin102 = AB
AB = 7.8

Can anyone confirm whether this is right?

For the second part it says find the area of the logo, i'm trying to use 1/2absinc

so i did 1/2 x 11.4 x sin(36) =26.13 which was the area of one triangle and then i multiplied it by 2 to get 52.3 cm^2

Is this right?

part ii) is what I'm really stuck on.
Show that ST = 16.2cm to 3 sig fig
HOW????

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