Question

At 3:00 PM a man 138 cm tall casts a shadow 145 cm long. At the same time, a tall building nearby casts a shadow 188 m long. How tall is the building? Give your answer in meters. (You may need the fact that 100 cm = 1 m.)

Answer 1

A tall man(138cm) casts a shadow of 145cm

A building nearby casts a shadow of 188m

Using the information you have to determine the height of the building.

First step is to convert the units of the height of the man and the length of his shadow from cm to meters:

100cm=1m

So 145cm=1.45m

And 138co=1.38m

Now that the measurements are expressed in the same units you can determine the height shadow ratio of the man and use it to calculate the height of the bulding.

`\frac{\text{height}}{\text{shadow}}=(1.38)/(1.45)`

Compare this ratio with the ratio between the heigth/shadow ratio of the building to determine the heigth of the building.

Said height will be symbolized as "x"

`\begin{gathered} (1.38)/(1.45)=(x)/(188) \\ x=((1.38)/(1.45))188 \\ x=178.92m \end{gathered}`

The building is 178.92m