Question

A surveyor needs to Find the distance across a river and draws this sketch. Use the surveyor sketch to find the distance across the river

Answer 1

The distance across the river measured as x is 32 m

Here, we want to find the distance across the river;

That is the distance measured as x

We use the principle of similar triangles

When two triangles are similar, the ratio of corresponding sides are equal

We have this as;

`\begin{gathered} (10)/(20)\text{ = }(16)/(x) \\ \\ 10* x\text{ = 16}*20 \\ \\ 10x\text{ = 320} \\ x\text{ = }(320)/(10)\text{ = 32 m} \\ \\ \end{gathered}`