A sail is composed of two right-angled triangles joined along a common vertical side. The lower triangle has a horizontal base of 1.5 m and a hypotenuse of 2.5 m. The upper triangle has an angle of 20∘ 20^\circ\,20∘ at the top vertex, which is opposite the shared side. The hypotenuse of the upper triangle is x mx\text{ m}x m. Right-angle symbols are shown at the base and at the top corner of the vertical shared side.
Work out the value of xxx. Give your answer to 1 decimal place.
Practise AQA GCSE Maths SOHCAHTOA (Trigonometry) with exam-style questions for Foundation and Higher tier. 43 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.