Question

Refer to the diagram below. Surveyors know that ∆PQR and ∆STR are similar. What is PQ, the distance across the lake?

Answer 1

Bruh i dead had the same question lol. Sadly no one has answered yet.

Answer 2

Answer : The distance across the lake (PQ) is, 3.24 km

Step-by-step explanation :

As we are given that ∆PQR and ∆STR are similar triangles.

By (BPT) basic proportionality theorem,

$\frac{TR}{QR}=\frac{ST}{PQ}$     ............(1)

Given:

Length of TR = 1.25 km

Length of ST = 1.80 km

Length of QR = 2.25 km

Now put all the given values in the equation 1, we get:

$\frac{1.25}{2.25}=\frac{1.80}{PQ}$

$PQ=3.24$

Thus, the distance across the lake (PQ) is, 3.24 km