question: In triangle ABD, BC is the perpendicular to AD, with AB length of 32 and BD length of 35. Angle A is 50°, angle D is 45°. Consider the following diagram. Hence, find the length of AD correct to two decimal places.
query_wo: Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
  Question: In triangle ABD, BC is the perpendicular to AD, with AB length of 32 and BD length of 35. Angle A is 50°, angle D is 45°. Consider the following diagram. Hence, find the length of AD correct to two decimal places.
query_cot: Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
  Question: In triangle ABD, BC is the perpendicular to AD, with AB length of 32 and BD length of 35. Angle A is 50°, angle D is 45°. Consider the following diagram. Hence, find the length of AD correct to two decimal places.
question_for_eval: In triangle ABD, BC is the perpendicular to AD, with AB length of 32 and BD length of 35. Angle A is 50°, angle D is 45°. Consider the following diagram. Hence, find the length of AD correct to two decimal places.