ai. A man travels from a village X on a bearing of 060º to a village Y, which is 20 km away. From Y, he travels to a village Z, on a bearing of 195º. If Z is directly east of X, calculate, correct to three significant figures, the distance of  Y from Z

ii. A man travels from a village X on a bearing of 060º to a village Y, which is 20 km away. From Y, he travels to a village Z, on a bearing of 195º. If Z is directly east of X, calculate, correct to three significant figures, the distance of  Z from X

bi. An aircraft flies due south from an airfield on latitude 36ºN, longitude 138ºE to an airfield on latitude 36°S, longitude 138ºE. Calculate the distance travelled, correct to three significant figures.

ii. An aircraft flies due south from an airfield on latitude 36ºN, longitude 138ºE to an airfield on latitude 36ºS, longitude 138ºE. If the speed of the aircraft is 800 km per hour, calculate the time taken, correct to the nearest hour. [Take π = \(\frac{22}{7}\), R = 6400 km]