Height and Distance Questions Practice Question and Answer
8 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
1181 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: There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. The length of the other temple is;
1176 05f083456429a37679ec22ff7
5f083456429a37679ec22ff7- 136√3 mfalse
- 218√3 mfalse
- 318 mfalse
- 436 mtrue
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Answer : 4. "36 m"
Q: The shadow of a tower when the angle of elevation of the sun is 45 °, is found to be 10 m longer that when it was 60 °. The height of the tower is
1172 05f0c06b46d435560094277da
5f0c06b46d435560094277da- 110(√3-1) mfalse
- 210(√3+1) mfalse
- 35(√3-1) mfalse
- 45(3+√3) mtrue
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Answer : 4. "5(3+√3) m "
Q: The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60° and 30°, respectively. The ratio of the heights of the tower is
1158 05dca95b845ad6b59c82bb7fe
5dca95b845ad6b59c82bb7fe- 12 : 1false
- 2√3 : 1false
- 33 : 2false
- 43 : 1true
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Answer : 4. "3 : 1"
Q: The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is
1158 05dcbd608f348e931548d079f
5dcbd608f348e931548d079f- 150 √ 3 mfalse
- 2true
m - 375 √3 mfalse
- 4false
m
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Answer : 2. " m"
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.
1157 05f0c32cffce67160728a5962
5f0c32cffce67160728a5962- 1√3false
- 2false
- 3true
- 43 mfalse
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Answer : 3. " "
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.
1156 064abdd5a8c254a4ceae340be
64abdd5a8c254a4ceae340be- 1true
m - 2false
m - 3false
m - 4false
m
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Answer : 1. " 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
1153 05f08481f8e448621429f1197
5f08481f8e448621429f1197- 1√13 metersfalse
- 23 metersfalse
- 3√3 metersfalse
- 413 meterstrue
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