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e-lub [12.9K]
3 years ago
6

The scale on a trail map is 0.5 cm : 1 km. The straight distance between 2 huts on the trail is 16.9 cm. What is the actual dist

ance?
Mathematics
1 answer:
sesenic [268]3 years ago
6 0

We have been given that the scale on a trail map is 0.5 cm : 1 km. The straight distance between 2 huts on the trail is 16.9 cm. We are asked to find the actual distance between 2 huts.

We will use proportions to solve our given problem.

\frac{\text{Actual length}}{\text{Scale length}}=\frac{\text{1 km}}{\text{0.5 cm}}

\frac{\text{Actual length}}{\text{16.9 cm}}=\frac{\text{1 km}}{\text{0.5 cm}}

\frac{\text{Actual length}}{\text{16.9 cm}}\times \text{16.9 cm}=\frac{\text{1 km}}{\text{0.5 cm}}\times \text{16.9 cm}

\text{Actual length}=\frac{\text{1 km}}{\text{0.5}}\times \text{16.9}

\text{Actual length}=33.8\text{ km}

Therefore, the actual distance between both huts is 33.8 km.

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