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,
[tex]\frac{TR}{QR}=\frac{ST}{PQ}[/tex] ............(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:
[tex]\frac{1.25}{2.25}=\frac{1.80}{PQ}[/tex]
[tex]PQ=3.24[/tex]
Thus, the distance across the lake (PQ) is, 3.24 km
