1.44: Past-paper question 4

4PM1/1R/June/2025 — Question 4 · 7 marks

Triangle ABC\displaystyle ABC is such that
AB=4.3cmAB = 4.3 \mathrm{cm}
BC=5.9cmBC = 5.9 \mathrm{cm}
angleBCA=29∘\mathrm{angle} BCA = 29^\circ
(a) Find in degrees, to one decimal place, the two possible values for angle CAB\displaystyle CAB
(4)
(b) Hence, find in cm, to 3 significant figures, the shortest possible length of AC\displaystyle AC
(3)