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

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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

The Last option is correct 3.24 km

Therefore the distance across the lake is PQ = 3.24 km.

Step-by-step explanation:

Given:

ΔPQR and ΔSTR are Similar

ST = 1.80 km

TR = 1.25 km

QR = 2.25 km

To Find:

Distance across the lake, PQ = ?

Solution:

ΔPQR ~ ΔSTR ..........Given:

If two triangles are similar then their sides are in proportion.  

Substituting the values we get

 Therefore the distance across the lake is PQ = 3.24 km.

can you put the picture up?

step-by-step explanation: