Question

Using the data in the figure, calculate the width x of the river.(word upė means river)

Answer 1

Given:

is given.

Required:

We have to find the value of x

Step-by-step explanation:

Here in figure, triangle ADE and triangle ABC are similar under AA similarity

`\begin{gathered} \angle D=\angle B \\ \angle E=\angle C \end{gathered}`

So by this we also write this

`\begin{gathered} (AD)/(AB)=(ED)/(CB) \\ \end{gathered}`

Now put the values

`\begin{gathered} (2)/(5)=(4)/(x) \\ \Leftrightarrow(1)/(5)=(2)/(x) \\ \Leftrightarrow x=10m \end{gathered}`

Final answer:

The value of x is 10m