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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.

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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.

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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.

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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.

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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.

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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°.

Solution not provided
Ans. 10m.

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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.

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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.

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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.

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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?

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