Respuesta :

Answer:

[tex]c\approx63\Rightarrow\text{ Option two}[/tex]

Explanation: The doc=to door distance can be calculated using the Pythagorean theorem, which states the following:

[tex]a^2+b^2=c^2\Rightarrow(1)[/tex]

According to the diagram, the known and the unknowns for equation (1) are as follows:

[tex]\begin{gathered} a=110m \\ b=90m \end{gathered}[/tex]

Plugging these values in equation (1) gives the following answer:

[tex](110)^2+(90)^2=c^2[/tex]

Solving for the c gives the answer, the steps are shown as follows:

[tex]\begin{gathered} c^2=(110)^2+(90)^2 \\ c=\sqrt{(110)^2+(90)^2} \\ c=\sqrt{12100-8100} \\ c=\sqrt{4000}=63.245 \\ c\approx63 \end{gathered}[/tex]

In conclusion, the answer is Option Second.

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