Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Mathematics : Some Applications of Trigonometry

Long Answer Type

61. A statue 1.46 m. tall stands on the top of a pedestal. From a point on the ground the angle of elevation of the top of statue is 60° and from the same point, the angle of elevation of the top of the pedestal is 45° find the height of the pedestal.

1868 Views

62. The angle of elevation of a jet fighter from a point A on the ground is 60°. After a flight of 15 seconds, the angle of elevation changes to 30°. If the jet is flying at a speed of 720 km/hour, find the constant height at which the jet is flying.

915 Views

63. A man on the deck of a ship 14 m above water level, observes that the angle of elevation of the top of a cliff is 60° and the angle of depression of the base of the cliff is 30°. Calculate the distance of the cliff from the ship and the height of the cliff.

368 Views

Short Answer Type

64. The height of a tower is 10 m. Calculate the height of its shadow when Sun's altitude is 45°.

101 Views

65. In the following figure, what are the angles of depression from the observing positions O₁ and O₂ of the object at A?

96 Views

66. Find the angle of elevation of the Sun's altitude when the height of shadow of a vertical pole is equal to its height.

158 Views

67. In figure, what are the angles of depression of depression of the top and bottom of h m tall building from the top of multistoryed building.

150 Views

68.

From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°, Find the height of the tower.

102 Views

69. In figure, what are the angles of depression from the positions O₁ and O₂ of the object at A?

97 Views

70.

The string of akite is 100 m long and its makes an angle of 60° with the horizontal. Find the height of the kite. Assume that there is no slackness in the string.

146 Views