Refer to the diagram below. surveyors know that ∆pqr and ∆str are similar. what is pq, the distance across the lake?

3.20 km
3.60 km
2.80 km
3.24 km

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,

    ............(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:

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

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0