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Marla walks straight from the parking lot to the lake as shown, where the sign reads that she is 320 m from the dock. How far is Marla from the parking lot?Fill in the blank text field 1 m

Marla walks straight from the parking lot to the lake as shown where the sign reads that she is 320 m from the dock How far is Marla from the parking lotFill in class=

Respuesta :

We proceed as follows:

*We determine the distance from the sign to the information center to find the ratio:

500 - 320 = 180

So, she will be 180 meters from the information center, now we operate:

[tex]\frac{320}{x}=\frac{x}{180}[/tex]

[This is assuming both triangles are similar, so the proportionality is true].

Now, we solve for x:

[tex]\Rightarrow x^2=57600\Rightarrow x=240[/tex]

So, she is 240 meters from the parking lot.

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