A plan for a garden layout shows a large triangular plot. A vertical boundary line of length y y\,y is drawn from the top corner to the base, dividing the plot into two sections and forming a right angle with the base. The left section of the plot has a side of 8 m and another side of 12 m. The angle between these two sides at the top-left corner is 50∘50^\circ50∘. The base of the right-hand section has a length of 6 m. The angle at the bottom-right corner is x∘x^\circx∘.
Work out the value of xxx.
Give your answer to 1 decimal place.
