Question

b. kaiya is painting her parents house using a ladder. the ladder is 1.4 m from the base of the house and touches the house 5.6 m up the wall. is this ladder set up safely?

Explanation:

Step1: Calculate the ratio

We need to check the ratio of the distance from the base of the house to the height on the wall. The ratio is \(\frac{\text{distance from base}}{\text{height on wall}}\).
Substitute the given values: \(\frac{1.4}{5.6}\)

Step2: Simplify the ratio

Simplify \(\frac{1.4}{5.6}=\frac{1.4\div1.4}{5.6\div1.4}=\frac{1}{4}\)

In general, for a safe ladder - setup, the ratio of the distance from the base of the support (house in this case) to the height on the support should be approximately \(\frac{1}{4}\)

Answer:

Yes, the ladder is set up safely.