Question 34
MediumOriginal questionAt a certain moment Harleen, who is 1.8 m tall, casts a shadow 2.4 m long. At the same moment a water tower casts a shadow 36 m long. How tall is the tower?
Show the answer and explanation
CorrectNot quiteAnswer A
Correct answer: A
Explanation
Harleen and her shadow, and the tower and its shadow, form similar right triangles (the sun's rays make the same angle).
Height ÷ shadow is the same: .
m.
Worth noting
48 m comes from flipping the ratio (shadow ÷ height). A quick check: her shadow is longer than she is, so the tower must be shorter than its 36 m shadow.
- Concept
- Similar triangles from shadows
- Typical timeTypical
- 70 s
- Your timeYours
- —
Practise this chapter →
Ten questions from Lines, Triangles and Circles, at your own pace.