A suspension bridge is being built. The top of the concrete tower is $49.7$49.7 metres above the bridge and the connection point for the main cable is $22.9$22.9 metres from the tower. The concrete tower and the bridge are perpendicular to each other.
Find the angle $a$a the cable makes with the bridge, giving your answer in degrees, minutes and seconds, rounding to the nearest second.
Find the length of $AB$AB to two decimal places.
Find the length of $AD$AD to two decimal places.
Find the length of $AD$AD to two decimal places.