
A right-angled trapezoid ABCD ABCD\,ABCD is shown. The vertices are labeled AAA (top-left), BBB (bottom-left), CCC (bottom-right), and DDD (top-right). The base BC BC\,BC is horizontal and labeled 15 m. The side AB AB\,AB is vertical and labeled 4 m. The side CD CD\,CD is vertical and labeled 6 m. Right-angle symbols are shown at vertices B B\,B and CCC, indicating that AB⊥BC AB \perp BC\,AB⊥BC and CD⊥BCCD \perp BCCD⊥BC. The angle BAD BAD\,BAD is the interior angle at vertex A A\,A between sides AB AB\,AB and ADADAD.
Work out the size of angle BADBADBAD. 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.