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 40 cm. The side AB AB\,AB is vertical and labeled 10 cm. The side CD CD\,CD is vertical and labeled 25 cm. 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.
SOHCAHTOA (Trigonometry) Questions
Practise OCR GCSE Maths SOHCAHTOA (Trigonometry) with exam-style questions for Foundation and Higher tier. 43 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers 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.