Question

A flagpole 3m tall casts a shadow5m long at the same time a nearby hill casts a shadow62m long. How Tall is the hill.

Answer 1

Explanation:

We are given information about the height of a flagpole and its shadow, and we also have information about the shadow of a hill.

This information is represented in the following diagram:

Where the symbol '?' represents what we are trying to find:

How tall is the hill

We will call this h for reference:

Since these shadows are happening at the same time, the ratio between these values must be the same, this is to say that

3/5 must be equal to h/62:

`(3)/(5)=(h)/(62)`

From this equation, we solve to find h:

`\begin{gathered} (3)/(5)*62=h \\ \end{gathered}`

Solving the operations the result is:

`\begin{gathered} 0.6*62=h \\ \downarrow \\ 37.2=h \end{gathered}`

The hill is 37.2 m tall.

Answer:

37.2 m