An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 21 m
At the same time and place the sun's rays fall at the same angle, so height and shadow are in the same ratio for every upright object.
For the pole: height : shadow \(=14:10\)
For the tree: \(\displaystyle\frac{h}{15}=\frac{14}{10}\)
\(h=\frac{14\times15}{10}=\) 21 m