Question

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

Answer 1

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:

$\frac{320}{x}=\frac{x}{180}$

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

Now, we solve for x:

$\Rightarrow x^2=57600\Rightarrow x=240$

So, she is 240 meters from the parking lot.