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1. The of an object is the angle formed by the line of sight with the horizontal, when the object is above the horizontal level. (1), , angle of projection, angle of depression, angle of elevation, , ao SF p, , none of these, , 2. From a point on the ground which is 15m away from the foot of a tower, the angle of, elevation is found to be 60°. The height of the tower is (1), , a. 15/3 m, b. 20/3 m, c. 10/3 m, d. 10m, , 3. From a point P on the level ground, the angle of elevation of the top of a tower is 30°., If the tower is 100m high, the distance between P and the foot of the tower is (1), , a. 300/3 m, b. 150/3 m, c. 20073 m, ad. 1003 m, , 4. An electric pole is 10/3 m high and its shadow is 10 m in length, then the angle of, , elevation of the sun is (1), , a. 45°, b. 15°, c. 30°, d. 60°, , 5. If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is
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10., , 11., , 12., , 45°, then the value of ‘x’ is (1), , a. 0.8m, b. 1.6m, c 3.2m, d. 2m, , . The angle of depression of car parked on the road from the the top of a 150m, , hightower is 30°. Find the distance of the car from the tower. (1), , . Ifcos A = 3 , find the value of 4 + 4tan2A. (1), B z, 5, B 2 A, , . In figure if ZATO = 40°, find ZAOB. (1), , , , . A ladder 15 m long leans against a wall making an angle of 60° with the wall. Find the, , height of the wall from the point the ladder touches the wall. (1), , A pole 6 m high casts a shadow 21/3 long on the ground, then find the Sun's, elevation. (1), , A boy observes that the angle of elevation of a bird flying at a distance of 100 m is 30°., At the same distance from the boy, a girl finds the angle of elevation of the same bird, , from a building 20 m high is 45°. Find the distance of the bird from the girl. (1), , Find the angle of elevation of the sun when the shadow of a pole h m high is /3 hm, long. (2)
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13., , 14., , 15., , 16., , 17., , 18., , 19., , 20., , A7m long flagstaff is fixed on the top of a tower standing on the horizontal plane., From point on the ground, the angles of elevation of the top and bottom of the, , flagstaff are 60° and 45° respectively. Find the height of the tower correct to one place, of decimal. (2), , The tops of two towers of height x and y, standing on level ground, subtend angles of, , 30° and 60° respectively at the centre of the line joining their feet, then find x: y. (3), , The length of a string between a kite and a point on the ground is 85 m. If the string, makes an angle @ with the ground level such that tan @ = 15/8 then find the height, of the kite from the ground. Assume that there is no slack in the string. (3), , Aman standing on the deck of a ship which is 10 m above the water level observes the, angle of elevation of the top of a hill as 60° and the angle of depression of the base of, the hill as 30°. Calculate the distance of the hill from the ship and the height of the, hill. (3), , The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground, is 60°. Ata point R, 40 m vertically above X, the angle of elevation of the top Q of, tower is 45°. Find the height of the tower PQ and the distance PX. (3), , The angle of depression of the top and bottom of a building 50 metres high as, , observed from the top of a tower are 30° and 45° respectively. Find the height of the, , tower and also the horizontal distance between the building and the tower. (4), , A vertically straight tree, 15 m high, is broken by the wind in such a way that its top, just touches the ground and makes an angle of 60° with the ground. At what height, from the ground did the tree break? (4), , A round balloon of radius r subtends an angle @ at the eye of the observer while the, angle of elevation of its centre is 3. Prove that the height of the centre of the balloon is, r sin Bcosec oe (4)
