Practice30Create account

Two vertical poles, one 6 m tall and the other 10 m tall, stand on level ground in a Nashik park.
Both cast shadows at the same moment on a sunny afternoon.
Which statement about the two shadows is TRUE?

Class 10Heights and DistancesTrigonometry
  • AThe 10 m pole casts the shorter shadow, because it is the taller pole.
  • BBoth poles cast shadows of exactly the same length.
  • CThe shadows are in the ratio 6 : 10, because the angle of elevation of the Sun is the same for both poles.
  • DThe ratio of the shadows depends on how far apart the two poles are standing.

Step-by-Step Solution

Shadow = , and θ is the same for both poles at the same moment, so the shadow is proportional to the height: 6 : 10, that is 3 : 5. The taller pole therefore casts the LONGER shadow.
Answer: C) The shadows are in the ratio 6 : 10, because the angle of elevation of the Sun is the same for both poles.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Heights and Distances practice questions

More Class 10 Heights and Distances practice

A tourist whose eyes are 1.7 m above her feet stands at the very edge of a vertical…A boy flying a kite in Ludhiana has let out taut string so that the kite is 20 m above…A television antenna stands vertically on the top of a building 15 m tall in Nagpur.…A jogger in Bhubaneswar stands 60 m from the foot of a stadium floodlight tower, where…From the top of a forest watchtower 25 m high, the angle of depression of a deer…