Height and Distance Questions Practice Question and Answer
8 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:
1432 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 rests against a wall at a height of 10 meters. If the ladder makes 30° along the ground. Find the distance from the wall of the foot of the ladder.
1432 05f1547a29a713b0717c7a3a0
5f1547a29a713b0717c7a3a0- 1$$ {10\over{\sqrt{3}}}$$false
- 2$$ {20 \sqrt{3}}\over{3}$$false
- 3$$ {10\sqrt{3}}$$true
- 4$$ {20\sqrt{3}}$$false
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Answer : 3. "$$ {10\sqrt{3}}$$"
Q: Ramesh stands 40 meters away from the foot of a tower, if the angle of elevation of the sun is 60 degrees at that point, what will be the height of the tower?
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5f0ec6bd1090a0586540489b- 140false
- 2$$ {40\sqrt{3}}$$true
- 345false
- 4$$ {60\sqrt{3}}$$false
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Answer : 2. "$$ {40\sqrt{3}}$$"
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.
1421 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: The angle of elevation of the top of a tree 220 metres high from two points lies on the same plane are 30° and 45°. What is the distance (in metres) between the two points?
1406 05f2a7835a5ce9779bd293457
5f2a7835a5ce9779bd293457- 1193.22false
- 2161.05true
- 3144.04false
- 4176.12false
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Answer : 2. "161.05"
Q: The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 80 metre are 60° and 45° respectively. The distance of the base of the tower from the base of the building is:-
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5f5b030569ed13038c1a20c0- 1$$ 40 {(\sqrt{3}-1)}\ metre $$false
- 2$$ 40 {(3+\sqrt{3})}\ metre $$false
- 3$$ 40 {(3-\sqrt{3})}\ metre $$false
- 4$$ 40({\sqrt{3}}+1)\ meter$$true
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Answer : 4. "$$ 40({\sqrt{3}}+1)\ meter$$"
Q: From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is
1394 05dcbd79bf348e931548d0a8a
5dcbd79bf348e931548d0a8a- 110 √ 3 mfalse
- 220 √ 3 mfalse
- 3$$ {10\over √3} m $$false
- 4$$ {20\over √3} m $$true
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Answer : 4. "$$ {20\over √3} m $$ "
Q: The distance between two parallel poles is 40√3 m. The angle of depression of the top of the second pole, when seen from the top of first pole, is 30 °. What will be the height of second tower if the first pole is 100m long?
1388 05f0c31b96d43556009433230
5f0c31b96d43556009433230- 135 √3false
- 260 mtrue
- 350 √3 mfalse
- 480 mfalse
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