Answer to Question #124208 in Geometry for Osei kwame

Question

Line PR is perpendicular to line QS, angle QPR=60°, angle PSR=30° and line PQ=8cm. Calculate line SR correct to two significant figures

Answer 1

With this condition, it is impossible to unambiguously calculate the segment SR, because it is possible to move the points S and R along their straight lines so that the angle PSR remains 30 degrees and all other conditions are also preserved. As we see in this picture, points S and R can move freely without changing the conditions, and the desired segment SR changes accordingly. So there are infinitely many possible lengths of the SR segment. Therefore, it is impossible to unambiguously calculate.