Numeracy Higher June 2025 Unit 2 Q6
6. A builder wants to put a ladder safely against a wall.
The builder should follow the ‘4 up, 1 out’ rule.
This means that, for every 4 units of height up the wall that the top of the ladder reaches, the base of the ladder should be 1 unit away from the wall.
The diagram below shows a ladder placed safely against a vertical wall.
Diagram not drawn to scale
Calculate the angle between the horizontal ground and the ladder. [3]
| Scheme | Mark | Comments |
|---|---|---|
| (Angle between the ground and the ladder =) \(\tan^{-1}\) 4(/1) | M2 | Allow an alternative full method M1 tan (angle between ground and ladder) = 4 (/1) |
| 75.96(...°) or 76(°) | A1 | ISW Allow 75(°) or 75.9(°) provided not from incorrect working |