Respuesta :

Answer:

3.24 km

Step-by-step explanation:

Because the two triangles are similar, we can set the sides of as a proportion:

[tex]\frac{TR}{QR} = \frac{ST}{PQ}[/tex]

Now, let's plug in the side lengths:

[tex]\frac{1.25}{2.25} = \frac{1.80}{PQ}[/tex]

Lastly, Solve for PQ.

[tex]\frac{1.25}{2.25} = \frac{1.80}{PQ}\\\\1.80*2.25 = 1.25*PQ\\\\4.05 = 1.25*PQ\\\\\frac{4.05}{1.25} = PQ\\\\3.24 = PQ[/tex]