Question

On a map, San Francisco, Las Vegas, and Los Angeles form a triangle whose sides areshown in the figure below. The actual distance from Los Angeles to Las Vegas is270 miles. Find the actual distance from San Francisco to Las Vegas.

Answer 1

Given:

From the image, Los Angeles to Las Vegas = 1.0"

The actual distance from Los Angeles to Las Vegas = 270 miles.

Hence, the scale that can be used to relate the image and actual distances is;

`1.0^(\prime)^(\prime)=270miles`

From the image, San Francisco to Las Vegas = 2.1"

Thus, using the scale, the actual distance from San Francisco to Las Vegas will be;

`\begin{gathered} 1.0^(\prime)^(\prime)=270miles \\ 2.1^(\prime)^(\prime)=270*2.1 \\ =567miles \end{gathered}`

Therefore, the actual distance from San Francisco to Las Vegas is 567 miles.