Height and Distance Questions Practice Question and Answer
8 Q: A Navy captain going away from a lighthouse at the speed of 4[(73) -1] m/s. He observes that it takes him 1 minute to change the angle of elevation of the top of the lighthouse from 60 ° to 45 °. What is the height (in meters) of the lighthouse?
1970 05f0c24b16d43556009430587
5f0c24b16d43556009430587- 1360√3false
- 2280√2false
- 3240√3true
- 4480[(√3)-1]false
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Answer : 3. "240√3 "
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.
1967 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: 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
1962 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: 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
1954 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 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
1943 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: 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
1932 05dcbd51ae9d33d6509bed586
5dcbd51ae9d33d6509bed586- 172 mfalse
- 260 mtrue
- 365 mfalse
- 470 mfalse
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Answer : 2. "60 m "
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.
1926 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: 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
1920 05dcbd81145ad6b59c82e67fc
5dcbd81145ad6b59c82e67fc- 1$$ {13\over √3} meters $$false
- 213 meterstrue
- 315 metersfalse
- 43. 25 metersfalse
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