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

Short Answer Type

81. A bridge across a river makes an angle of 45° with the river bank. If the length of the bridge across the river is 150 m, what is the width of the river.

239 Views

82. An observer 1.5 m tall is 28.5 m away from a tower. The angle of elevation of the top of the tower from her eyes is 45°. What is the height of the tower.

397 Views

83. From a point on the ground, 15 m away from the root of a tree, the angle of elecation of the top of the tree is 30°. Find the height of the tree.

140 Views

84. A circus artist is climbing from the ground along a rope stretched from the top of a vertical pole and tied at the ground. The height of the pole is 12 cm and the angle made by the rope with ground level is 30°. Calculate the distance covered by the artist in climbing to the top of the pole.

398 Views

85. The angle of elevation of the top of a tower from a point on the ground which is 30 m away from the foot of the tower is 30°. Find the height of the tower.

133 Views

86. A circus artist is climbing a 20 m long rope, which is tightly stretched and lied from the top of vertical pole to the ground. Find the height of the pole, if the angle made by the rope, with the ground level is 30°.

127 Views

87. Find the angle of elevation of the top of a tower

10 square root of 3

m long, from a point at a distance of 100 m, from the foot of the lower in a horizontal plane.

133 Views

88. A tower stands vertically on the ground, from a point on the ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower.

209 Views

89. From ihe lop of a building 15 m high, the angle of elevation of the top of a tower is found to be 30°. From the bottom of the same building, the angle of elevation of the top of the tower is found to be 60°, Find the height of the tower and the distance between the tower and the building.

111 Views

90. The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of elevation of top of the tower from the foot of the hill is 30°. If the tower is 50 m high, what is the height of the hill?

141 Views