1.28: Past-paper question 2

4PM1/2/November/2023 — Question 2 · 7 marks

In triangle ABC\displaystyle ABC, AB=3x\displaystyle AB = 3x cm, BC=5x\displaystyle BC = 5x cm and ∠ABC=110∘\displaystyle \angle ABC = 110^\circ
(a) Find, in degrees to one decimal place, the size of ∠BCA\displaystyle \angle BCA
(4)
The area of triangle ABC\displaystyle ABC is 24cm2\displaystyle 24 \mathrm{cm}^2
(b) Find, to 3 significant figures, the value of x\displaystyle x
(3)