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