Question

1. a 4 m ladder is leaning against a wall. this ladder reaches 3.5 m up the wall. a second ladder is placed so it creates the same angle with the wall creating similar triangles. the second ladder is 6 m long. how far up the wall does the second ladder reach?4

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let the height the second ladder reaches be $h$. We have the proportion $\frac{4}{3.5}=\frac{6}{h}$.

Step2: Cross - multiply

Cross - multiplying gives us $4h = 3.5\times6$.

Step3: Solve for $h$

First, calculate $3.5\times6 = 21$. Then, $h=\frac{21}{4}=5.25$.

Answer:

$5.25$ m