Height and Distance Questions Practice Question and Answer
8 Q: From an observation tower ‘h’ meter above the level of river, the angle of depression of a point on the near shore is A° and that of a point directly on the far shore is B°. Find the width of the river.
1191 0600e93b77fb81d03bf731436
600e93b77fb81d03bf731436- 1h (Cot B +Cot A)true
- 2h (tanB +tanA)false
- 3h (tanA - tan B)false
- 4h(cot B-cotA)false
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Answer : 1. "h (Cot B +Cot A)"
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)
1168 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 form 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)
1157 05dcbd87745ad6b59c82e6940
5dcbd87745ad6b59c82e6940- 11.464 mfalse
- 29.464 mfalse
- 33.648 cmfalse
- 45.464 mtrue
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Answer : 4. "5.464 m"
Q: Two poles of equal height are standing opposite to each other on either side of a road, which is 28 metre wide. From a point between them on the road, the angle of elevation of the top are 30° and 60°. The height of each pole is:-
1150 05f5b0349dc518b408a41c7d7
5f5b0349dc518b408a41c7d7- 1$$ {6{\sqrt{3}}}\ metre$$true
- 2$$ {5{\sqrt{3}}}\ metre$$false
- 3$$ {4{\sqrt{3}}}\ metre$$false
- 4$$ {7{\sqrt{3}}}\ metre$$false
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Answer : 1. "$$ {6{\sqrt{3}}}\ metre$$"
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?
1142 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: A ladder is placed along a wall such that its upper end is touching the top of the wall. The foot of the ladder is 10 ft away from the wall and the ladder is making an angle of 60 ° with the ground. When a man starts climbing on it, it slips and now ladder makes an angle of 30° with ground. How much did the ladder slip?
1141 05f0c341a6d435560094339b6
5f0c341a6d435560094339b6- 130 (√3-1) ftfalse
- 218 (√3-1) ftfalse
- 310 (√3-1) fttrue
- 420 (√3-1) ftfalse
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Answer : 3. "10 (√3-1) ft "
Q: A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:
1134 0606ed2fa556643278a7e1a44
606ed2fa556643278a7e1a44- 190false
- 245false
- 360false
- 430true
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Answer : 4. "30"
Q: An Aeroplan is flying horizontally at a height of 1.8 km above the ground. The angle of elevation of plane from point X is 60° and after 20 seconds, its angle of elevation from X becomes 30°, If point X is on ground, then what is the speed (in km / hr.) of Aeroplan?
1097 05f0c2f546d43556009431d91
5f0c2f546d43556009431d91- 1201√3false
- 2305√3false
- 3216√3true
- 4105√3false
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