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)
1535 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: A vertical pole and a vertical tower are standing on the same level ground. Height of the pole is 10 metres. From the top of the pole the angle of elevation of the top of the tower and the angle of depression of the foot of the tower are 60° and 30° respectively. The height of the tower is
1525 05d70e5fc60d0a53645a4ad1b
5d70e5fc60d0a53645a4ad1b- 120 mfalse
- 230 mfalse
- 340 mtrue
- 450 mfalse
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Answer : 3. "40 m"
Q: The angles of elevation of top and bottom of flag kept on a flag post from 30 metres distance, are 45 ° and 30 ° respectively. Height of the flag is [ taking 13 = 1.732)
1522 05f0c09e06d43556009428cc6
5f0c09e06d43556009428cc6- 114.32 mfalse
- 212.68 mtrue
- 312 √3 mfalse
- 415 mfalse
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Answer : 2. "12.68 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)
1521 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 boat is moving away from an observation tower. It makes an angle of depression of 60 ° with an observer's eye when at a distance of 50 m from the tower. After 8 sec, the angle of depression becomes 30 °. By assuming that it is running in still water, the approximate speed of the boat is
1511 05f0c1694fce671607289ec0d
5f0c1694fce671607289ec0d- 145 km/htrue
- 250 km/hfalse
- 333 km/hfalse
- 442 km/hfalse
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Answer : 1. "45 km/h "
Q: The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?
1493 0606d78f36a85553684e1c486
606d78f36a85553684e1c486- 116 mfalse
- 220√ 3 mtrue
- 320 mfalse
- 430 mfalse
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Answer : 2. "20√ 3 m"
Q: From the top of an upright pole feet high, the angle of elevation of the top of an upright tower was 600. If the foot of the pole was 60 feet away from the foot of the tower, what tall (in feet) was the tower?
1446 0649e82f546047484bc7dbcbd
649e82f546047484bc7dbcbd- 1true
- 2false
- 3false
- 4false
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Answer : 1. " "
Q: An Aeroplan flying horizontally at a height of 3 km. Above the ground is observed at a certain point on earth to subtend an angle of 60 °. After 15 sec flight, its angle of elevation is changed to 30 °. The speed of the Aeroplan (taking √3 = 1.732)
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5f0c1562cec10557a8daa19c- 1235.93 m/sec.false
- 2236.25 m/sec.false
- 3230.63 m/sec.false
- 4230.93 m/sec.true
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