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.
1901 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 angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is
1894 05dcbd608f348e931548d079f
5dcbd608f348e931548d079f- 150 √ 3 mfalse
- 2$$ 50\over √3$$ mtrue
- 375 √3 mfalse
- 4$$ 75\over √3$$ mfalse
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Answer : 2. "$$ 50\over √3$$ m"
Q: A helicopter, at an altitude of 1500 metre, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observed from the helicopter are 60° and 30° respectively. Distance between the two ships, in metre is
1881 05f0c196ccec10557a8daa746
5f0c196ccec10557a8daa746- 1500 √3false
- 2$${500\over√3}m$$false
- 3100√3true
- 4$${1000\over√3}m$$false
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Answer : 3. "100√3 "
Q: A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is
1862 05dcbd51ae9d33d6509bed586
5dcbd51ae9d33d6509bed586- 172 mfalse
- 260 mtrue
- 365 mfalse
- 470 mfalse
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Answer : 2. "60 m "
Q: A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30 ° with the ground. The distance from the foot of the tree to the point, where the top touches the ground is 10m. Find the total height of the tree
1858 05f0c107b6d4355600942c91c
5f0c107b6d4355600942c91c- 110(√3+1) mfalse
- 210(√3-1) mfalse
- 310 √3 mtrue
- 4$${10√3 \over3}m$$false
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Answer : 3. "10 √3 m "
Q: From a tower 125 metres high the angle of depression of two objects, which are horizontal line through the base of the tower are 45° and 30° and they are on the same side of the tower. The distance (in metres) between the objects is
1854 05d70e57bd8eebc768d1174ce
5d70e57bd8eebc768d1174ce- 1125√3false
- 2125(√3-1)true
- 3125/(√3-1)false
- 4125/(√3+1)false
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Answer : 2. "125(√3-1) "
Q: The angle of elevation of the top of a building at a distance of 70 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.
1843 064abdd5a8c254a4ceae340be
64abdd5a8c254a4ceae340be- 1$$70 \sqrt { 3} $$mtrue
- 2$$60 \sqrt { 3} $$mfalse
- 3$$50 \sqrt { 3} $$mfalse
- 4$$70 \sqrt { 2} $$mfalse
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Answer : 1. "$$70 \sqrt { 3} $$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:-
1838 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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