Practice30Create account

A ropeway is planned in Shimla with a single straight cable running from a station on level ground to the top of a hill 500 m high.
The cable is to make an angle of 30° with the horizontal.
Find the exact length of the cable (in m).

Class 10Heights and DistancesTrigonometry
  • A
  • B1000
  • C250
  • D

Step-by-Step Solution

The cable is the hypotenuse: sin m. The value 500 m (about 866 m) is the horizontal distance from the station to the foot of the hill, found with tan 30, not the length of the cable.
Answer: B) 1000

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 surveyor whose eyes are 1.6 m above the ground stands on level ground 30 m from the…A temple gopuram in Madurai is 45 m tall. A visitor standing on level ground finds the…From the top of a tower in Patna, the angle of depression of a rickshaw standing on the…A vertical tent pole 3 m high at a desert camp in Kutch is steadied by four straight…At 8 a.m. in Chennai the angle of elevation of the Sun is 30°, and by noon it has become…