a) A cyclist rides 50 km due east, then turns 60 north of east and rides another 30 km.Draw a vector diagram for the cyclist's trip. 11 Find the distance covered by the cyclist. (Give your answer to 4 significant figures).b) A surveyor wants to calculate the height of a building measures the angle of elevation as 30" at point A. He then walks 10 metres closer to the building at point B and measures the angle of elevation as 40". D Pole h 30 B 40 C 10 m V i) Find the distance from point A to the base of the building at point C (length AC).(Round your answer to 4 significant figures).ii) Find the height h of the building using the angle of 40 and y found in part i).Round your answer to 4 significant figuresiii) Find the distance from point A to the top of the building (point D) using the angle of 30 and the height value / calculated in part ii).