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Calculate, correct to three significant figures, the leng...

Calculate, correct to three significant figures, the length AB in the diagram above.

Calculate, correct to three significant figures, the length AB in the diagram above.

A.

36.4 cm

B.

36.1 cm

C.

36.2 cm

D.

36.3 cm

Correct answer is C

sinAa=sinBb=sinCc

sin82043.2=sin560AB

AB×sin820=43.2×sin560

= 36.2cm (to 3 s.f)