Height and Distance Questions Practice Question and Answer
8 Q: From a point P on the ground the angle of elevation of the top of a 10m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 450. Find the length of the flagstaff (Take √3 = 1.732)
984 15f0bf575cec10557a8da0e82
5f0bf575cec10557a8da0e82- 110 √3 mfalse
- 27.32 mtrue
- 310 (√30+2) mfalse
- 410 (√30+1) mfalse
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Answer : 2. "7.32 m"
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
1069 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
1682 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)
981 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;
1054 05f083775429a37679ec23284
5f083775429a37679ec23284- 124√2 meterfalse
- 296 meterfalse
- 325√3 meterfalse
- 424 metertrue
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