Aptitude Practice Question and Answer
8 Q: The shadow of a tower standing on a level plane is found to be 30 metre longer when the Sun's altitude changes from 60 ° to 45 °. The height of the tower is
1074 05f0bf3fc6d435560094248be
5f0bf3fc6d435560094248be- 115 (√3-1) mfalse
- 215 (3-√3) mfalse
- 315 (3+√3) mtrue
- 415 (3-√3) mfalse
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Answer : 3. "15 (3+√3) m "
Q: From the peak of a hill which is 300m high, the angle of depression of two sides of a bridge lying on a ground are 45° and 30° (both ends of the bridge are on the same side of the hill). Then the length of the bridge is
1684 05f0bf32afce6716072896c96
5f0bf32afce6716072896c96- 1300√3 mfalse
- 2$${300\over√3}m $$false
- 3300(√3-1) mtrue
- 4300(√3+1) mfalse
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Answer : 3. "300(√3-1) m "
Q: The angle of elevation of sun changes from 30 ° to 45 °, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732)
983 05f0bf2acfce6716072896ba9
5f0bf2acfce6716072896ba9- 13.648 mfalse
- 25.464 mtrue
- 31.464 mfalse
- 49.464 mfalse
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Answer : 2. "5.464 m"
Q: A pole stands vertically inside a scalene triangular park ABC. If the angle of elevation of the top of the pole from each corner of the park is same, then in ∆ABC, the foot of the pole is at the
1460 05f083c4c70ee59767c9f17cf
5f083c4c70ee59767c9f17cf- 1incentrefalse
- 2orthocenterfalse
- 3centroidfalse
- 4circumcentertrue
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Answer : 4. "circumcenter "
Q: The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 meters from the house. The length of the ladder is
1022 05f08481f8e448621429f1197
5f08481f8e448621429f1197- 1√13 metersfalse
- 23 metersfalse
- 3√3 metersfalse
- 413 meterstrue
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Answer : 4. "13 meters "
Q: The angle of elevation of the top of a tower from the point P and Q at distance of 'a' and 'b' respectively from the base of the tower and in the same straight line with it are complementary . The height of the tower is
880 05f084486429a37679ec2706e
5f084486429a37679ec2706e- 1$$ab$$false
- 2$$a^2b^2$$false
- 3$$\sqrt{ab}\ $$true
- 4$$\sqrt{a^2b}\ $$false
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Answer : 3. "$$\sqrt{ab}\ $$"
Q: The angle of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are 159 and 30° respectively. If A and B are on the same side of the tower and AB = 48 meter, then the height of the tower is;
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5f083775429a37679ec23284- 124√2 meterfalse
- 296 meterfalse
- 325√3 meterfalse
- 424 metertrue
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Answer : 4. "24 meter"
Q: There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. The length of the other temple is;
1021 05f083456429a37679ec22ff7
5f083456429a37679ec22ff7- 136√3 mfalse
- 218√3 mfalse
- 318 mfalse
- 436 mtrue
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