Height and Distance Questions Practice Question and Answer
8 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)
1754 05f0c09e06d43556009428cc6
5f0c09e06d43556009428cc6- 114.32 mfalse
- 212.68 mtrue
- 312 √3 mfalse
- 415 mfalse
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Answer : 2. "12.68 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
1744 05f083c4c70ee59767c9f17cf
5f083c4c70ee59767c9f17cf- 1incentrefalse
- 2orthocenterfalse
- 3centroidfalse
- 4circumcentertrue
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Answer : 4. "circumcenter "
Q: An observer on the top of a mountain, 500 m above the sea level, observes the angles of depression of the two boats in his same place vision to be 45 ° and 30 ° respectively. Then the distance between the boats, if the boats are on the same side of the mountain, is
1736 05f0c1159cec10557a8da9d97
5f0c1159cec10557a8da9d97- 1366 mtrue
- 2699 mfalse
- 3456 mfalse
- 4584 mfalse
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Answer : 1. "366 m "
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)
1720 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 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)
1718 05f0bf2acfce6716072896ba9
5f0bf2acfce6716072896ba9- 13.648 mfalse
- 25.464 mtrue
- 31.464 mfalse
- 49.464 mfalse
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Answer : 2. "5.464 m"
Q: From the top of an upright pole 17.75 m high, the angle of elevation of the top of an upright tower was 60⁰. If the tower was 57.75 m tall, how far away (in m) from the foot of the pole was the foot of the tower?
1704 064ad3a308c254a4ceae7a678
64ad3a308c254a4ceae7a678- 1$$40\sqrt {3} $$false
- 2$${151\sqrt {3}}\over 6 $$false
- 3$${77\over 4}\sqrt {3}$$false
- 4$${40\sqrt {3}}\over 3 $$true
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Answer : 4. "$${40\sqrt {3}}\over 3 $$"
Q: The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60o and 30o respectively. The height of the temple is more than the building. The height of the temple is-
1704 05e4cca1f701cfd31ff61c1b9
5e4cca1f701cfd31ff61c1b9- 172 mtrue
- 275 mfalse
- 360 mfalse
- 465 mfalse
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Answer : 1. "72 m"
Q: From the top of an upright pole $$24\sqrt { 3} $$ 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?
1690 0649e82f546047484bc7dbcbd
649e82f546047484bc7dbcbd- 1$$84\sqrt { 3} $$true
- 2$$36\sqrt { 3} $$false
- 3$$44\sqrt { 3} $$false
- 4$$60\sqrt { 3} $$false
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