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## Two stations P and Q on the main survey line were taken on the opposite sides of a pond. On the right of PQ, a line PR = 210 m long was laid down and another l ine PS = 260m long was laid down on the left of PQ. The points R, Q and S are on the sam

.By:Nikhil-bharadwaj

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## Answers

RS = RQ+QS=85+75=160 m

In ∆PRS, Let angle PRS = θ, cos θ = PR

^{2}+ RS^{2}– PS^{2} _____________

2 x PR x RS

cos θ = 210

^{2}+ 160^{2}– 260^{2} _______________

2 x 210 x 160

θ = 88.210

In ∆PQR, Let angle PRS = θ,

cos θ = PR

^{2}+ RQ^{2}– PQ^{2} ______________

2 x PR x RQ

Cos88.210= 210

^{2}+ 85^{2}– PQ^{2} _____________

2 x 210 x 160

manjarimattur

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