2023
Mathematics
JAMB
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: 36.2 cm
Explanation
sinA/a = sinB/b = sinC/c ⟹sin820/43.2 = sin560/AB ⟹AB × sin820 = 43.2 × sin560 ∴ AB = (43.2 × sin560)/sin820 = 36.2cm (to 3 s.f)
sinA/a = sinB/b = sinC/c ⟹sin820/43.2 = sin560/AB ⟹AB × sin820 = 43.2 × sin560 ∴ AB = (43.2 × sin560)/sin820 = 36.2cm (to 3 s.f)THIS WEEK's
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