Height from two angles

You will write a small tool that finds the height of a tower from two points on one side of it.

Your tasks.

1. In cot, return the cotangent of an angle given in degrees.
2. In height_from_two, return the height when the points are d metres apart, with the angle far at the farther point and near at the nearer point.
3. In nearer_distance, return the distance of the nearer point from the foot of the tower.
4. Set tower to the height when the points are $70$ m apart and the angles are $30°$ and $45°$.