Pole heights from similar triangles
Pole heights from similar triangles
Secondary 2
3 marks
TGM Original Questions
Three vertical poles stand on level ground, and their tops are collinear as shown. The middle and shortest poles are \(7\) m and \(3\) m high. Their horizontal separation is \(4\) m; the tallest and middle poles are \(6\) m apart. Find the tallest height.[3]
The right-angled triangles formed by the differences in pole heights are similar.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:\(13\) m.
Need help? Join our E-Maths tuition for O-Level success.
Learn more