HEIGHT AND DISTANCE SOME APPLICATIONS OF TRIGONOMETRY 09 Class 10th Mathematics (Practice Sheet) 1 _____ is drawn from the eye of an observer to the targeted object. A. A parallel line B. Line of sight C. Elevation line D. Depression line 2 What happens to the angle of elevation if the height of a tower, the distance between the tower and the observer is doubled? A. Doubled B. halved C. Tripled D. Remains the same 3 The angle of depression is always a/an _____ angle. A. Right B. obtuse C. complete D. acute 4 A pole stands vertically on the floor. From a point, it is 120 meters away from the foot of the pole and the angle of elevation is 45° then find the height of the pole. A. 100 meters B. 180 meters C. 120 meters D. 10 meters 5 A slope is built against a wall which makes an angle 30° with the ground and the height of the wall is 2 meters. Find the length of the slope in meters. A. 2 B. 4 C. 1 D. 3 6 An aeroplane is flying h meters above the ground. At a particular instant, the angle of elevation of the plane from the eyes of a boy sitting on the ground is 60°. After some time, the angle of elevation changed to 30°. Find the distance covered by the plane during that time assuming it travelled in a straight line. 7 From the top of the tower 30 m height a man is observing the base of a tree at an angle of depression measuring 30 degrees. Find the distance between the tree and the tower. 8 From the top of a building 30 m high, the top and bottom of a tower are observed to have angles of depression 30° and 45° respectively. Find the height of the tower. 9 The tops of two poles of height 30 m and 14 m are connected by a string. If the wire makes an angle of 30° with the horizontal, find the length of the wire. 10 Two ships are on the opposite of a light house such that all three of them are collinear. The angles of depression of the two ships from the top of the light house are 30° and 60°. If the ships are 230√3 m apart, then find the height of the light house (in m). Page 1 Email: Phone No: Website:
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