Height and Distance Questions Practice Question and Answer
8 Q: The angle of elevation of the foot of a house from the top of a tower is twice the angle made with the top of this house. If the height of the tower is 75 meters. And the elevation angle of the foot of the house from the top of the tower is 60 degrees. So what is the height of the house?
1318 05f4df7f6ff09f8700a308986
5f4df7f6ff09f8700a308986- 125 meterfalse
- 237.5 meterfalse
- 350 metertrue
- 460 meterfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "50 meter"
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
1317 05f08481f8e448621429f1197
5f08481f8e448621429f1197- 1√13 metersfalse
- 23 metersfalse
- 3√3 metersfalse
- 413 meterstrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "13 meters "
Q: If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be
1315 05dcbd47d1c797b2b2ae1cf5e
5dcbd47d1c797b2b2ae1cf5e- 1$$ √3\over 2 km $$true
- 2$$ 1\over 2 km $$false
- 3$$ 2\over √3$$false
- 43√3false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "$$ √3\over 2 km $$ "
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;
1315 05f083456429a37679ec22ff7
5f083456429a37679ec22ff7- 136√3 mfalse
- 218√3 mfalse
- 318 mfalse
- 436 mtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "36 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
1313 05f0c02d06d43556009426980
5f0c02d06d43556009426980- 118false
- 224true
- 312false
- 416false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "24"
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
1308 05dcbd81145ad6b59c82e67fc
5dcbd81145ad6b59c82e67fc- 1$$ {13\over √3} meters $$false
- 213 meterstrue
- 315 metersfalse
- 43. 25 metersfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "13 meters "
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.
1308 064abdd5a8c254a4ceae340be
64abdd5a8c254a4ceae340be- 1$$70 \sqrt { 3} $$mtrue
- 2$$60 \sqrt { 3} $$mfalse
- 3$$50 \sqrt { 3} $$mfalse
- 4$$70 \sqrt { 2} $$mfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "$$70 \sqrt { 3} $$m"
Q: A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45 ° and 60 °, then the width of the river is
1300 05f0c00c06d43556009426191
5f0c00c06d43556009426191- 1400√3mfalse
- 2$${400\over√3}m $$false
- 3$$200+{200\over√3}m $$true
- 4$$200-{200\over√3}m $$false
- Show AnswerHide Answer
- Workspace
- SingleChoice

