Practical applications of similarity
Answers are for parents and teachers.
1
A stick is 1.5 m tall, 3 m from its base to the shadow tip, and the tree base is 60 m from the shadow tip. How tall is the tree (m)?
30
2
Scale 1 : 200. What real length in metres is 7 cm on the plan?
14
3
A plan shows a 3 cm × 4 cm rectangle at scale 1 : 1000. What is its real area (m²)?
1200
4
AC = 60 m, and on paper A₁C₁ = 40 mm and A₁B₁ = 70 mm. How long is AB (m)?
105
5
Write a plan for measuring a pole or tree in your yard by the shadow method, with an adult.
Set the stick upright, measure the shadows at the same time, calculate H from the ratio.