CBSE  /  Class 10  /  Maths  /  Some Applications of Trigonometry

  • 1. 
    If at some time, the length of the shadow of a tower is √3 times its height, then the angle of elevation of the sun, at that time is:

  • 15°
  • 30°
  • 45°
  • 60°

  • 2. 
    A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:

  • 15√3 m
  • \(\frac{15√3}{2}\) m
  • \(\frac{15}{2}\) m
  • 15 m

  • 3. 
    At some time of the day, the length of the shadow of a tower is equal to its height. Then, the sun’s altitude at that time is:

  • 30°
  • 60°
  • 90°
  • 45°

  • 4. 
    A person is flying a kite at a height of 30 m from the horizontal level. The length of string from the kite to the person is 60 m. Assuming that here is no slack in the string, the angle of elevation of kite to the horizontal level is:

  • 45°
  • 30°
  • 60°
  • 90°

  • 5. 
    The angle of depression of a car, standing on the ground, from the top of a 75 m high tower is 30°. The distance of the car from the base of tower (in m) is:

  • 25√3
  • 50√3
  • 75√3
  • 150

  • 6. 
    A man at the top of a 100 m high tower sees a car moving towards the tower at an angle of depression of 30°. After some time, the angle of depression becomes 60°. The distance travelled by the car during this time interval is:

  • 10√3 m
  • \(\frac{100√3}{3}\) m
  • \(\frac{200√3}{3}\) m
  • 200√3 m

  • 7. 
    The angle of elevation of the top of a 15 m high tower at a point 15 m away from the base of tower is:

  • 30°
  • 60°
  • 45°
  • 75°

  • 8. 
    A man standing at a height 6 m observes the top of a tower and the foot of tower at angles of 45° and 30° of elevation and depression respectively. The height of tower is:

  • 6√3 m
  • 12 m
  • 6(√3 - 1)
  • 6(√3 + 1) m

  • 9. 
    Two poles are 25 m and 15 m high and the line joining their tops makes an angle of 45° with the horizontal. The distance between these poles is:

  • 5 m
  • 8 m
  • 9 m
  • 10 m

  • 10. 
    A 6 feet tall man finds that the angle of elevation of a 24 feet high pillar and the angle of depression of its base are complementary angles. The distance of man from the pillar is:

  • 4√3 feet
  • 6√3 feet
  • 8√3 feet
  • 10√3 feet
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