Height and Distance Questions Practice Question and Answer
8 Q: A vertical pole and a vertical tower are on the same level of ground in such a way that from the top of the pole, the angle of elevation of the top of the tower is 600 and the angle of depression of the bottom of the tower is 300. If the height of the tower is 76 m. then find the height (in ₹) of the pole.
523 06479d23151bf194753ecf606
6479d23151bf194753ecf606- 138false
- 2$$19\sqrt { 3} \ $$false
- 319true
- 457false
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Answer : 3. "19 "
Q: An earthing wire connected to the top of an electricity pole has its other end inside the ground. The foot of the wire is 1.5 m away from the pole and the wire is making an angle of 60° with the level of the ground. Determine the height of pole.
1022 05f0c32cffce67160728a5962
5f0c32cffce67160728a5962- 1√3false
- 2$${√3\over2}m$$false
- 3$${3√3\over2}m$$true
- 43 mfalse
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Answer : 3. "$${3√3\over2}m$$"
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?
1158 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: The angle of elevation of the top of a tower from a point A on the ground is 30o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60o.The height of the tower is-
829 060530ff4a01bc44789ad9e09
60530ff4a01bc44789ad9e09- 15√3false
- 215false
- 310√3true
- 420√3false
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Answer : 3. "10√3"
Q: If the angel of elevation of the sun decreases from 450 to 300, then the length of the shadow of a pillar increase by 60 m. The height of the pillar is
469 06343e37632d3e964961fb5a8
6343e37632d3e964961fb5a8- 160(√3+1) mfalse
- 230(√3-1) mfalse
- 330(√3+1) mtrue
- 460(√3-1) mfalse
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Answer : 3. "30(√3+1) m"
Q: An aero plane flying horizontally at a height of 3 km. Above the ground is observed at a certain point on earth to subtend an angle of 600. After 15 sec flight, its angle of elevation is changed to 300. The speed of the aero plane (taking √3=1.732)
514 06343e3243a01e50b2700b8f0
6343e3243a01e50b2700b8f0- 1230.63 m/secfalse
- 2230.93 m/sectrue
- 3235.85 m/secfalse
- 4236.25 m/secfalse
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Answer : 2. "230.93 m/sec"
Q: If the angle of elevation of the sun changes from 30o to 45o then length of the shadow of a pillar decreases by 20 meters. The height of the pillar is:
967 0609909ebc4aedb3e80669ee5
609909ebc4aedb3e80669ee5- 1$$ {20(\sqrt{3}-1)}\ meter$$false
- 2$$ {20(\sqrt{3}+1)}\ meter$$false
- 3$$ {10(\sqrt{3}-1)}\ meter$$false
- 4$$ {10(\sqrt{3}+1)}\ meter$$true
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Answer : 4. "$$ {10(\sqrt{3}+1)}\ meter$$"
Q: A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30° with the ground. How high on the wall does the ladder reach?
914 06073fbbfc61d5c2ec9409048
6073fbbfc61d5c2ec9409048- 110 mtrue
- 217.32 mfalse
- 334.64 mfalse
- 430 mfalse
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