SOLUTION: Two surveyors are on the opposite sides of a swamp. To find the distance between them, one surveyor locates a point T that is 180 m to point P, her location. The other surveyor loc

Question 43163: Two surveyors are on the opposite sides of a swamp. To find the distance between them, one surveyor locates a point T that is 180 m to point P, her location. The other surveyor locates point R, which is 80 m from point T and creates an angle of 72o for angle PTR. Find the distance across the swamp (PR).
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
This problem is very if you draw the figure first.
Consider the triangle PTR.
Let p, t and r be the lengths of the sides RT, PR and PT respectively.
Also, denote the internal abgles of the triangle as P, T and R e.g. < RTP = T.

Look, you know from the given data that r = 180 m, p = 80 m and T = .
Now you are required to find 't'.
In order to find 't' apply cosine rule.

or
or
or
or
or
or
or

Hence, the required length of PR is 172.92 m.
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