Question

The movement of the progress bar may be uneven because questions con be worth more or less (including zero) depending on your answerWhen the sun is at a certain angle in the sky, a 100-foot building will cast a 25-foot shadow. How tall is a person if hecasts a 1.5-foot shadow at the same time? Enter only the number.The solution is

Answer 1

Answer:

The person is 6 feet tall

Step-by-step explanation:

The height of the buiding = 100 feet

The shadow cast by the building = 25 feet

Let the angle of the sun in the sky be represented by θ

The height of person = t

The shadow cat by the person = 1.5 feet

These can be descibed diagrammatically as shown below

From the diagrams:

`\begin{gathered} \tan \theta\text{ = }(100)/(25)\ldots\ldots\ldots(1) \\ \tan \theta=(t)/(1.5)\ldots\ldots\ldots\text{.}(2) \end{gathered}`

Comparing equations (1) and (2)

`\begin{gathered} (100)/(25)=\text{ }(t)/(1.5) \\ 4\text{ = }(t)/(1.5) \\ t\text{ = 4(1.5)} \\ t\text{ = }6 \end{gathered}`

The person is 6 feet tall