Question

A wooden model of a building has a scale of

Equations and inequalities
ANSWERED
asked 2021-08-14
A wooden model of a building has a scale of 1:360. The wooden model is \(\displaystyle{35}{\left(\frac{{2}}{{5}}\right)}\) cm high. How high is the building in m?

Expert Answers (1)

2021-08-15
Let the building's height be h.
\(\displaystyle\frac{{{35}{\left(\frac{{2}}{{5}}\right)}}}{{h}}=\frac{{1}}{{360}}\)
\(\displaystyle{35}{\left(\frac{{2}}{{5}}\right)}{\left({360}\right)}={h}\)
\(\displaystyle{h}=\frac{{177}}{{5}}{\left({360}\right)}\)
h=12744cm
12744cm= \(\displaystyle\frac{{12744}}{{100}}\) m
=127,44m
The building is 127,44m high.
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