Question

cay street and bay street are parallel. find the value of x, the distance from cay street to bay street. 1 km 1.4 km cay st. 0.8 km dale st. earl st. x bay st. not drawn to scale

Explanation:

Step1: Set up proportion

Since the streets are parallel, we can use the property of similar - triangles. The ratios of corresponding sides are equal. So, $\frac{1}{0.8}=\frac{1.4}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $1\times x = 0.8\times1.4$.

Step3: Calculate the value of x

$x=0.8\times1.4 = 1.12$.

Answer:

$1.12$ km