Height and Distance Questions Practice Question and Answer
8 Q: A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 ° to 60 °. After this the time required by the vehicle to reach the bottom of the hill is
836 05f0c0d6bcec10557a8da9971
5f0c0d6bcec10557a8da9971- 113 min 40 sectrue
- 214 min 24 secfalse
- 312 min 20 secfalse
- 413 minfalse
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Answer : 1. "13 min 40 sec "
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.
818 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 kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:
815 0606ed2fa556643278a7e1a44
606ed2fa556643278a7e1a44- 190false
- 245false
- 360false
- 430true
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Answer : 4. "30"
Q: The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is
813 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: The angle of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are 159 and 30° respectively. If A and B are on the same side of the tower and AB = 48 meter, then the height of the tower is;
811 05f083775429a37679ec23284
5f083775429a37679ec23284- 124√2 meterfalse
- 296 meterfalse
- 325√3 meterfalse
- 424 metertrue
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Answer : 4. "24 meter"
Q: The angles of elevation of top and bottom of flag kept on a flag post from 30 metres distance, are 45 ° and 30 ° respectively. Height of the flag is [ taking 13 = 1.732)
811 05f0c09e06d43556009428cc6
5f0c09e06d43556009428cc6- 114.32 mfalse
- 212.68 mtrue
- 312 √3 mfalse
- 415 mfalse
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Answer : 2. "12.68 m "
Q: A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8√3 m from its feet and makes an angle of 30 ° with the horizontal. The height (in metre) of the post is
808 05f0c02d06d43556009426980
5f0c02d06d43556009426980- 118false
- 224true
- 312false
- 416false
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Answer : 2. "24"
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
789 05f0c107b6d4355600942c91c
5f0c107b6d4355600942c91c- 110(√3+1) mfalse
- 210(√3-1) mfalse
- 310 √3 mtrue
- 4$${10√3 \over3}m$$false
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