1. The user asks to draw diagrams for multiple problems, but as a text-based assistant, I cannot draw images directly. 2. However, I can describe how to sketch each diagram: - For problem 3a: Draw an acute triangle ABC. Label sides and angles such that the sine law applies, for example, label angle A = 40°, side a = 7 cm opposite angle A, and angle B = 60°. - For problem 4: Draw a coordinate plane with the rescue ship at the origin. Mark one boat 70 km away at N45°E (45° from north towards east), and the other boat 100 km away at S50°E (50° from south towards east). - For problem 5: Draw triangle ABC with side BC = 515 m. Label angle B = 72°, angle C = 53°, and side AB as the unknown bridge length. - For problem 6: Draw a parallelogram with adjacent sides 11 cm and 15 cm, and the angle between them 50°. Label the shorter diagonal. 3. For actual drawing, please use graphing tools or software like Desmos or GeoGebra. No mathematical problem was asked to solve here, so q_count is 0.