Height and Distance - General Questions

A ladder leaning against a wall makes an angle of 60° with the ground. The foot of the ladder is 5 m from the wall. What is the length of the ladder?

From a point on the ground 45 m away from the foot of a pole, the angle of elevation of the top is 30°. What is the height of the pole?

The angles of elevation of the top of a 14√3 m tower from two points on the same side of it, in line with its foot, are 30° and 60°. What is the distance between the two points?

From the top of a 5√3 m high cliff, the angle of depression of a boat is 30°. How far is the boat from the foot of the cliff?

From a point on the ground 48 m away from the foot of a pole, the angle of elevation of the top is 30°. What is the height of the pole?