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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

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 A class=

Answer :

Answer:

The person is 6 feet tall

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:

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

Comparing equations (1) and (2)

[tex]\begin{gathered} \frac{100}{25}=\text{ }\frac{t}{1.5} \\ 4\text{ = }\frac{t}{1.5} \\ t\text{ = 4(1.5)} \\ t\text{ = }6 \end{gathered}[/tex]

The person is 6 feet tall

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