1. Calculate:
1) The angle of the ladder to the ground.
2) The angle of the ladder to the wall.
3) The length of ladder required to reach a height of 6 metres.
4) How much longer the ladder needs to be than the wall, as a %.

2. 1) 76.0 degrees 2) 14.0 degrees 3) 6.2 metres 4) 3.1% Calculate:
1) The angle of the ladder to the ground.
2) The angle of the ladder to the wall.
3) The length of ladder required to reach a height of 6 metres.
4) How much longer the ladder needs to be than the wall, as a %.
1) 76.0 degrees
2) 14.0 degrees
3) 6.2 metres
4) 3.1%

3. 1) 75.5 degrees 2) 11.6 metres 3) 0.5 degrees
Some safety manuals state the 4 to 1 rule as the ratio of the ladder length to the distance from the wall. For the ladder shown, calculate:
1) The angle of the ladder to the ground.
2) The height reached by this ladder.
3) The difference between the angle using this 4-1 rule and the angle using the previous 4-1 rule. Why is this so small?
1) 75.5 degrees
2) 11.6 metres
3) 0.5 degrees

4. √2 : 1 gives 54.7º and 45º (difference of 9.7º)
1 If the ladder rule were 3 to 2, would the difference between the angles be more significant for the two different interpretations of the rules? What would the difference be?
2 Ext: What ratio of sides would give the largest discrepancy?
and 48.2º (difference of 8.1º)
√2 : 1 gives 54.7º and 45º (difference of 9.7º)