10th Standard CBSE - Maths - Some Applications of Trigonometry

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Question - 1

Which of the following is rational?

  • A √3 + √5
  • B √4 + √9
  • C √2 + √4
  • D √6 + √9

Question - 2

A kite is flying, attached to a thread which is 165m long. The thread makes an angle of 300 with the ground. The height of the kite from the ground, assuming that there is no slack in the thread is

  • A 84 m
  • B 82.5 m
  • C 81.5 m
  • D 80 m

Question - 3

A tree casts a shadow 4 m long on the ground, when the angle of elevation of the sun is 450. The height of the tree is:

  • A 4.5 m
  • B 3 m
  • C 5.2 m
  • D 4 m

Question - 4

A man is standing on the deck of a ship, which is 8 m above water level. He observes the angle of elevation of the top of a hill as 600 and angle of depression of the base of the hill as 300. What is the height of the hill?

  • A 32 m
  • B 24√3 m
  • C 24m
  • D 8√3 m

Question - 5

If the height and length of the shadow of a man are the same, then the angle of elevation of the sun is

  • A 60°
  • B 45°
  • C 30°
  • D 15°

Question - 6

From the given figure, find h

  • A √3 m
  • B 25√3m
  • C 50√3 m
  • D 2 √3 m

Question - 7

A tower stands vertically on the ground. From a point C on the ground, which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 45°. The height of the tower is

  • A 10 m
  • B 8 m
  • C 15 m
  • D 20 m

Question - 8

Find AB in the given figure

  • A √3
  • B 30√3
  • C 20√3
  • D 10√3

Question - 9


 

In the above fig Q and α respectively are

  • A Angle of Depression and Angle of Depression
  • B Angle of Elevation and Angle of depression
  • C Angle of Elevation and Angle of Elevation
  • D Angle of depression and Angle of Elevation

Question - 10

Two pillars are a metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the taller pillar is

 

 

  • A a√2m
  • B 2a m
  • C a m
  • D a/√2 m
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